Matrix problems and stable homotopy types of polyhedra

• Autorzy: Yuriy Drozd
• Języki publikacji: EN

Abstrakty

EN

This is a survey of the results on stable homotopy types of polyhedra of small dimensions, mainly obtained by H.-J. Baues and the author [3, 5, 6]. The proofs are based on the technique of matrix problems (bimodule categories).

Słowa kluczowe

EN

polyhedra; homotopy type; matrix problems; tame and wild problems; 55P12; 15A36; 16G60

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 3
• Strony: 420-447

Daty

wydano

2004-06-01

online

2004-06-01

Twórcy

autor

Yuriy Drozd

• Kyiv Taras Shevchenko University

Bibliografia

• [1] H.J. Baues:Homotopy Type and Homology, Oxford University Press, 1996.
• [2] H.J. Baues: “Atoms of Topology”,Jahresber. Dtsch. Math.-Ver., Vol. 104, (2002), pp. 147–164.
• [3] H.J. Baues add Yu. A. Drozd: “The homotopy classification of (n−1)-connected (n+4)-dimensional polyhedra with torsion free homology”,Expo. Math., Vol. 17, (1999), pp. 161–179.
• [4] H.J. Baues and Yu. A. Drozd: “Representation theory of homotopy types with at most two non-trivial homotopy groups”,Math. Proc. Cambridge Phil. Soc., Vol. 128, (2000), pp. 283–300. http://dx.doi.org/10.1017/S0305004199004168
• [5] H.J. Baues and Yu. A. Drozd: “Indecomposable homotopy types with at most two non-trivial homology groups, in: Groups of Homotopy Self-Equivalences and Related Topics”,Contemporary Mathematics, Vol. 274, (2001), pp. 39–56.
• [6] H.J. Baues and Yu. A. Drozd: “Classification of stable homotopy types with torsion-free homology”. Topology,Vol 40, (2001),pp. 789–821. http://dx.doi.org/10.1016/S0040-9383(99)00084-1
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• [18] Hu Sze-Tsen:Homotopy Theory, Academic Press, 1959.
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Identyfikatory

DOI

10.2478/BF02475238