Subgroups of finite dimensional topological groups

DOI10.1016/0022-4049(71)90021-1zbMath0225.22001OpenAlexW2093733668MaRDI QIDQ2548670

D. L. Rector

Publication date: 1971

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(71)90021-1

Mathematics Subject Classification ID

Structure of general topological groups (22A05) (H)-spaces and duals (55P45) Loop spaces (55P35) Research exposition (monographs, survey articles) pertaining to topological groups (22-02) Analysis on general topological groups (22A10)

Related Items

On adic genus and lambda-rings, Fake Lie groups and maximal tori. I, Fake Lie groups and maximal tori. II, Homotopy Lie groups, Fake Lie groups and maximal tori. III, On the cohomology of generalized homogeneous spaces, Fibrations of Classifying Spaces, Rational maximal tori, The Steenrod problem of realizing polynomial cohomology rings, Loop structures on the homotopy type of \(S^3\) revisited, Variations on the cohomology of loop spaces on generalized homogeneous spaces

Cites Work

• Unnamed Item
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• Construction of universal bundles. II
• Principal quasifibrations and fibre homotopy equivalence of bundles
• A combinatorial definition of homotopy groups
• On homotopy theory and c. s. s. groups
• Quasifaserungen und unendliche symmetrische Produkte
• Torsion in \(H\)-spaces
• Finiteness conditions for CW-complexes. I, II.
• Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern
• On the cohomology of homogeneous spaces
• Wall obstruction of a fibration
• On principal \(S^ 3\)-bundles over spheres
• On homotopy commutative H-spaces
• Homotopy associativity and finite CW complexes
• \(H\)-spaces which are bundles over \(S^ 7\)
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Groupes d'homotopie et classes de groupes abéliens
• On Semisimplicial Fibre-Bundles
• Cohomology of homogeneous spaces
• EXOTIC MULTIPLICATIONS ON S³
• THE REAL K-THEORY OF CLASSIFYING SPACES
• Manifolds of the homotopy type of (non-Lie) groups
• Homotopy Associativity of H-Spaces. I
• Vector fields on spheres