Matrix problems and stable homotopy types of polyhedra

DOI10.2478/BF02475238zbMath1062.55004arXivmath/0404252MaRDI QIDQ1767449

Yuriy A. Drozd

Publication date: 11 March 2005

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404252

zbMATH Keywords

polyhedrahomotopy typematrix problemstame and wild problems

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Stable homotopy theory, spectra (55P42) Matrices of integers (15B36)

Related Items (4)

Stable homotopy classification of \(A_n^4\)-polyhedra with 2-torsion free homology ⋮ The classification of 2 and 3 torsion free polyhedra ⋮ Classification of the congruence classes of \(A_n^5\) (\(n \geqslant 6\)) with 2-torsion free homology ⋮ Atoms in the \(p\)-localization of stable homotopy category

Cites Work

• Classification of p-local low-dimensional spectra
• Matrix problems and categories of matrices
• The homotopy classification of \((n-1)\)-connected \((n+4)\)-dimensional polyhedra with torsion free homology, \(n\geq 5\)
• The homotopy classification of \((n-1)\)-connected \((n+3)\)-dimensional polyhedra, \(n\geq{} 4\)
• \(A^ 4_ n\)-polyhedra with free homology
• Atoms of topology
• Stable homotopy
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Representation theory of homotopy types with at most two non-trivial homotopy groups localized at a prime
• Homotopy invariants and continuous mappings
• Finitely generated quadratic modules
• Classification of stable homotopy types with torsion-free homology
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