On genera of polyhedra

• Autorzy: Yuriy Drozd , Petro Kolesnyk
• Języki publikacji: EN

Abstrakty

EN

We consider the stable homotopy category S of polyhedra (finite cell complexes). We say that two polyhedra X,Y are in the same genus and write X ∼ Y if X p ≅ Y p for all prime p, where X p denotes the image of Xin the localized category S p. We prove that it is equivalent to the stable isomorphism X∨B 0 ≅Y∨B 0, where B 0 is the wedge of all spheres S n such that π nS(X) is infinite. We also prove that a stable isomorphism X ∨ X ≅ Y ∨ X implies a stable isomorphism X ≅ Y.

Słowa kluczowe

EN

Stable homotopy category; Polyhedron; Genus; Cancellation; Orders in semisimple algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 401-410

Daty

wydano

2012-04-01

online

2012-01-18

Twórcy

autor

Yuriy Drozd

• National Academy of Sciences of Ukraine,

autor

Petro Kolesnyk

• National Academy of Sciences of Ukraine,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0123-y