Homotopic topology
type: Item
instance of: scholarly article
title: Homotopic topology
zbMATH Open document ID: 0286.55006
DOI: 10.1007/BF01083669
published in: Journal of Soviet Mathematics
publication date: 1973-01-01T00:00:00Z
Mathematics Subject Classification ID: 55N20
Mathematics Subject Classification ID: 55-02
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 55S05
Mathematics Subject Classification ID: 55S10
Mathematics Subject Classification ID: 55S20
Mathematics Subject Classification ID: 55S25
Mathematics Subject Classification ID: 55T15
zbMATH DE Number: 3449488
author: Dmitry Fuchs
MaRDI profile type: Publication
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cites work: On the groups \(J(X)\). III
cites work: On the groups \(J(X)\). IV
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cites work: Thom Complexes
cites work: Vector bundles and the Künneth formula
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cites work: K-THEORY AND REALITY
cites work: POWER OPERATIONS IN K-THEORY
cites work: Characters and cohomology of finite groups
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cites work: Clifford modules
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cites work: The metastable homotopy of 𝑂(𝑛)
cites work: A note on the 𝐾𝑂-theory of sphere-bundles
cites work: Q5728114
cites work: The mod-\(p\) lower central series and the Adams spectral sequence
cites work: Equivariant cohomology theories
cites work: AXIOMS FOR THE GENERALIZED PONTRYAGIN COHOMOLOGY OPERATIONS
cites work: WHITEHEAD PRODUCTS AND COHOMOLOGY OPERATIONS
cites work: A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
cites work: Q5586983
cites work: Q5569373
cites work: Q3292125
cites work: Some results on the stable homotopy groups of spheres
cites work: THE DECOMPOSITION OF STABLE HOMOTOPY
cites work: The decomposition of stable homotopy
cites work: The 𝑆𝑈-bordism theory
cites work: Q5331105
cites work: The relation of cobordism to K-theories
cites work: Some relations between homotopy and homology
cites work: Kohomologie-Operationen in der K-Theorie
cites work: Steenrod-Operationen in Kobordismen-Theorien
cites work: Sur les opérations de Steenrod
cites work: Über die Steenrodschen Kohomologieoperationen
cites work: Chern characters of certain complexes
cites work: Steenrod operations in homological algebra
cites work: \(K_ U\)-groups of Dold manifolds
cites work: Relationships between the Adams spectral sequences and Toda's calculations of the stable homotopy groups of spheres
cites work: On the homotopy groups of suspensions of complex Grassmann manifolds
cites work: Complex Stiefel Manifolds, some homotopy groups and vector fields
cites work: Cohomology Operations with Local Coefficients

Homotopic topology (cites work)
cites work: A cohomology theory based upon self-conjugacies of complex vector bundles

Homotopic topology (cites work)
cites work: On Stable Vector Bundles Over Real Projective Spaces

Homotopic topology (cites work)
cites work: On the Kernel of Suspension

Homotopic topology (cites work)
cites work: On the homotopy groups of the classical groups

Homotopic topology (cites work)
cites work: Integral characteristic numbers for weakly almost complex manifolds

Homotopic topology (cites work)
cites work: Q5516066

Homotopic topology (cites work)
cites work: On the K-theory of Lie groups

Homotopic topology (cites work)
cites work: On the unstable e-invariant

Homotopic topology (cites work)
cites work: ADAMS OPERATIONS AND HOMOTOPY COMPOSITION

Homotopic topology (cites work)
cites work: Some homotopy groups of Stiefel manifolds

Homotopic topology (cites work)
cites work: Alexander duality in K-theory

Homotopic topology (cites work)
cites work: The operations \(p^ k_ R\) on the group \(\tilde K_ R (CP^ n)\)

Homotopic topology (cites work)
cites work: Vektorraumbündel und der Raum der Fredholm-Operatoren

Homotopic topology (cites work)
cites work: Q4086459

Homotopic topology (cites work)
cites work: Homotopy Groups of Compact Lie Groups E6, E7 and E8

Homotopic topology (cites work)
cites work: Secondary cohomology operations which extend the triple product

Homotopic topology (cites work)
cites work: The structure of \(K_ \Lambda\)-rings of the lens space and their applications

Homotopic topology (cites work)
cites work: Algèbres de Clifford et $K$-théorie

Homotopic topology (cites work)
cites work: Q5558922

Homotopic topology (cites work)
cites work: Q5558923

Homotopic topology (cites work)
cites work: Q5558924

Homotopic topology (cites work)
cites work: A Secondary Product Structure in Cohomology Theory.

Homotopic topology (cites work)
cites work: Unstable Homotopy of O(n)

Homotopic topology (cites work)
cites work: On the cohomology of two-stage Postnikov systems

Homotopic topology (cites work)
cites work: On the cohomology of two-stage Postnikov systems

Homotopic topology (cites work)
cites work: On the Cohomology of Spaces with Two Non-Vanishing Homotopy Groups.

Homotopic topology (cites work)
cites work: On a Cartan Formula for Secondary Cohomology Operations.

Homotopic topology (cites work)
cites work: On Evaluation of Higher Order Cohomology Operations.

Homotopic topology (cites work)
cites work: Note on Whitehead Products in Spheres.

Homotopic topology (cites work)
cites work: Über multiplikative Eigenschaften von spektralen Sequenzen

Homotopic topology (cites work)
cites work: Über die komplexen Cobordismengruppen

Homotopic topology (cites work)
cites work: Über die Poincaré-Dualität in der Bordismentheorie

Homotopic topology (cites work)
cites work: On the Homotopy Groups of the Exceptional Lie Groups

Homotopic topology (cites work)
cites work: Kunneth Formulas for Bordism Theories

Homotopic topology (cites work)
cites work: Cobordism Operations and Hopf Algebras

Homotopic topology (cites work)
cites work: Q5536119

Homotopic topology (cites work)
cites work: Q5521301

Homotopic topology (cites work)
cites work: THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS

Homotopic topology (cites work)
cites work: A Theorem in Homological Algebra and Stable Homotopy of Projective Spaces

Homotopic topology (cites work)
cites work: Zeroes of the Cohomology of the Steenrod Algebra

Homotopic topology (cites work)
cites work: Notes on Homotopy of Thom Spectra

Homotopic topology (cites work)
cites work: A Short Proof of the James Periodicity of π k+p (V k+m,m )

Homotopic topology (cites work)
cites work: Some Whitehead products in \(S^ n\)

Homotopic topology (cites work)
cites work: On the order of the image of J

Homotopic topology (cites work)
cites work: On the Adams Spectral Sequence

Homotopic topology (cites work)
cites work: Secondary cohomology operations on the Thom class

Homotopic topology (cites work)
cites work: Some differentials in the Adams spectral sequence

Homotopic topology (cites work)
cites work: Q3279825

Homotopic topology (cites work)
cites work: THE HOMOTOPY GROUPS π2n+i(U(n)) FOR i=3, 4 AND 5.

Homotopic topology (cites work)
cites work: CORRECTION TO THE PRECEDING PAPER AND NOTE ON THE JAMES NUMBER

Homotopic topology (cites work)
cites work: ON THE GROUPS π2n+7(U(n)), ODD PRIMARY COMPONENTS

Homotopic topology (cites work)
cites work: APPLICATIONS OF FUNCTIONAL COHOMOLOGY OPERATIONS TO THE CALCULUS OF π2n+i(U(n)) FOR i=6 AND 7, n≥4

Homotopic topology (cites work)
cites work: Unstable groups of unitary groups (odd primary components)

Homotopic topology (cites work)
cites work: Q5725255

Homotopic topology (cites work)
cites work: Cohomology Operations of the N th Kind

Homotopic topology (cites work)
cites work: Q5334833

Homotopic topology (cites work)
cites work: Q5515130

Homotopic topology (cites work)
cites work: Q5515126

Homotopic topology (cites work)
cites work: Q5540251

Homotopic topology (cites work)
cites work: Q5536118

Homotopic topology (cites work)
cites work: The cohomology of the Steenrod algebra; stable homotopy groups of spheres

Homotopic topology (cites work)
cites work: Functional Cohomology Operations and Relations

Homotopic topology (cites work)
cites work: A survey of cobordism theory

Homotopic topology (cites work)
cites work: On the generalized Hopf homomorphism and the higher composition. I, II: \(\pi_{n+i}(S^n)\) for \(i = 21\) and \(22\)

Homotopic topology (cites work)
cites work: Q5344756

Homotopic topology (cites work)
cites work: The homotopy groups of Lie groups of low rank

Homotopic topology (cites work)
cites work: The \((n+20)\)-th homotopy groups of \(n\)-spheres

Homotopic topology (cites work)
cites work: Homotopy groups of \(\mathrm{SU}(3)\), \(\mathrm{SU}(4)\) and \(\mathrm{Sp}(2)\)

Homotopic topology (cites work)
cites work: Homotopy groups of symplectic groups

Homotopic topology (cites work)
cites work: Räume mit Operatorengruppen und Cohomologie

Homotopic topology (cites work)
cites work: Note on the relations on Steenrod algebra

Homotopic topology (cites work)
cites work: Some homotopy of stunted complex projective space

Homotopic topology (cites work)
cites work: Some homotopy of stunted complex projective space

Homotopic topology (cites work)
cites work: Some stable homotopy of complex projective space

Homotopic topology (cites work)
cites work: Q5533006

Homotopic topology (cites work)
cites work: On the dimension of generators of a polynomial algebra over the ${\mathrm{Mod}}p$ steenrod algebra

Homotopic topology (cites work)
cites work: Q5341542

Homotopic topology (cites work)
cites work: Q5523447

Homotopic topology (cites work)
cites work: $2$-Primary components of the homotopy groups of some Lie groups

Homotopic topology (cites work)
cites work: $2$-Primary components of the homotopy groups of spheres

Homotopic topology (cites work)
cites work: $2$-Primary components of the homotopy groups of spheres and Lie groups

Homotopic topology (cites work)
cites work: Q5338757

Homotopic topology (cites work)
cites work: Secondary Cohomology Operations: Two Formulas

Homotopic topology (cites work)
cites work: The dual of a secondary cohomology operation

Homotopic topology (cites work)
cites work: The $K$ theory of the projective unitary groups

Homotopic topology (cites work)
cites work: The K theory of the projective unitary groups

Homotopic topology (cites work)
cites work: The Adams spectral sequence for 𝑈*(𝑋,𝑍_{𝑝}) and applications to Lie groups, etc.

Homotopic topology (cites work)
cites work: Q5543300

Homotopic topology (cites work)
cites work: An unstable Adams spectral sequence

Homotopic topology (cites work)
cites work: The J Functor and the Nonstable Homotopy Groups of the Unitary Groups

Homotopic topology (cites work)
cites work: RELATIVE COHOMOLOGY OPERATIONS

Homotopic topology (cites work)
cites work: SECONDARY OPERATIONS AND THE SQUARE CONSTRUCTION

Homotopic topology (cites work)
cites work: Q3275418

Homotopic topology (cites work)
cites work: On homotopy groups $\pi _{2n} \left( {K_m^n, S^n} \right)$

Homotopic topology (cites work)
cites work: Secondary cohomology operations induced by the diagonal mapping

Homotopic topology (cites work)
cites work: Q5544072

Homotopic topology (cites work)
cites work: Triviality of the mod $p$ Hopf invariants

Homotopic topology (cites work)
cites work: On stable functional cohomology operations

Homotopic topology (cites work)
cites work: Q3844096

Homotopic topology (cites work)
cites work: Higher Order Cohomology Operations in Local Coefficient Theory

Homotopic topology (cites work)
cites work: Groupes d'homotopie des variétés de Stiefel complexes

Homotopic topology (cites work)
cites work: Higher Order Operations

Homotopic topology (cites work)
cites work: Relations among characteristic numbers. I

Homotopic topology (cites work)
cites work: Relations among characteristic numbers. II

Homotopic topology (cites work)
cites work: A note on the bordism algebra of involutions

Homotopic topology (cites work)
cites work: OPERATIONS IN KO-THEORY AND PRODUCTS OF REAL PROJECTIVE SPACES

Homotopic topology (cites work)
cites work: Steenrod squares and \(H\)-spaces

Homotopic topology (cites work)
cites work: Steenrod squares and H-spaces. II

Homotopic topology (cites work)
cites work: Exceptional Lie groups and Steenrod squares

Homotopic topology (cites work)
cites work: Postnikov invariants and higher order cohomology operations

Homotopic topology (cites work)
cites work: Einige Ergebnisse über Homotopiegruppen von Sphären

Homotopic topology (cites work)
cites work: The cohomology of the classifying space for complex K-theory mod p

Homotopic topology (cites work)
cites work: Vector fields on spheres

Homotopic topology (cites work)
cites work: ON UNSTABLE HOMOTOPY OF SPHERES AND CLASSICAL GROUPS

Homotopic topology (cites work)
cites work: Compositional Methods in Homotopy Groups of Spheres. (AM-49)

Homotopic topology (cites work)
cites work: On iterated suspensions. I, II

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cites work: An important relation in homotopy groups of spheres

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cites work: Extended $p$-th powers of complexes and applications to homotopy theory

Homotopic topology (cites work)
cites work: Q5341544

Homotopic topology (cites work)
cites work: Generators and relations for the Steenrod algebra

Homotopic topology (cites work)
cites work: A characterization of simple modules over the Steenrod algebra mod 2

Homotopic topology (cites work)
cites work: On the cohomology of the mod-2 Steenrod algebra and the non-existence of elements of Hopf invariant one

Homotopic topology (cites work)
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Homotopic topology (cites work)
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Homotopic topology (cites work)
cites work: On the mod $p$ Hopf invariant

Homotopic topology (cites work)
cites work: A subalgebra of 𝐸𝑥𝑡_{𝐴}**(𝑍₂,𝑍₂)

Homotopic topology (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01083669

Homotopic topology (OpenAlex ID)
OpenAlex ID: W4211252979