Universal separable metrizable spaces of given cohomological dimension

Wojciech Olszewski

doi:10.1016/0166-8641(94)00036-3

Universal separable metrizable spaces of given cohomological dimension

Wojciech Olszewski^*

^*Corresponding author for this work

Economics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

For every countable CW complex K, we construct a universal separable metrizable space X with K ε{lunate} AE(X). From this theorem we derive several corollaries devoted to the question of existence of universal spaces in cohomological dimension theory.

Original language	English (US)
Pages (from-to)	293-299
Number of pages	7
Journal	Topology and its Applications
Volume	61
Issue number	3
DOIs	https://doi.org/10.1016/0166-8641(94)00036-3
State	Published - Feb 24 1995

Keywords

Absolute extensor
Cohomological dimension
Universal space

ASJC Scopus subject areas

Geometry and Topology

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10.1016/0166-8641(94)00036-3

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title = "Universal separable metrizable spaces of given cohomological dimension",

abstract = "For every countable CW complex K, we construct a universal separable metrizable space X with K ε{lunate} AE(X). From this theorem we derive several corollaries devoted to the question of existence of universal spaces in cohomological dimension theory.",

keywords = "Absolute extensor, Cohomological dimension, Universal space",

author = "Wojciech Olszewski",

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T1 - Universal separable metrizable spaces of given cohomological dimension

AU - Olszewski, Wojciech

PY - 1995/2/24

Y1 - 1995/2/24

N2 - For every countable CW complex K, we construct a universal separable metrizable space X with K ε{lunate} AE(X). From this theorem we derive several corollaries devoted to the question of existence of universal spaces in cohomological dimension theory.

AB - For every countable CW complex K, we construct a universal separable metrizable space X with K ε{lunate} AE(X). From this theorem we derive several corollaries devoted to the question of existence of universal spaces in cohomological dimension theory.

KW - Absolute extensor

KW - Cohomological dimension

KW - Universal space

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UR - http://www.scopus.com/inward/citedby.url?scp=0010722583&partnerID=8YFLogxK

U2 - 10.1016/0166-8641(94)00036-3

DO - 10.1016/0166-8641(94)00036-3

M3 - Article

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VL - 61

SP - 293

EP - 299

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

Universal separable metrizable spaces of given cohomological dimension

Abstract

Keywords

ASJC Scopus subject areas

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