Inductive dimensions modulo simplicial complexes and ANR-compacta

• Autorzy: V. V. Fedorchuk
• Języki publikacji: EN

Abstrakty

EN

We introduce and investigate inductive dimensions 𝒦 -Ind and ℒ-Ind for classes 𝒦 of finite simplicial complexes and classes ℒ of ANR-compacta (if 𝒦 consists of the 0-sphere only, then the 𝒦 -Ind dimension is identical with the classical large inductive dimension Ind). We compare K-Ind to K-Ind introduced by the author [Mat. Vesnik 61 (2009)]. In particular, for every complex K such that K * K is non-contractible, we construct a compact Hausdorff space X with K-Ind X not equal to K-dim X.

Kategorie tematyczne

• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 2
• Strony: 223-247

Daty

wydano

2010

Twórcy

autor

V. V. Fedorchuk

• Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119992, Russia

Identyfikatory

DOI

10.4064/cm120-2-4