On (co)homology locally connected spaces

Katsuya Eda; Umed H. Karimov; Dušan Repovš

doi:10.1016/S0166-8641(01)00087-6

On (co)homology locally connected spaces

Katsuya Eda, Umed H. Karimov, Dušan Repovš^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

We prove that there exists a cohomology locally connected compact metrizable space which is not homology locally connected. In the category of compact Hausdorff spaces a similar result was proved earlier by G.E. Bredon.

Original language	English
Pages (from-to)	397-401
Number of pages	5
Journal	Topology and its Applications
Volume	120
Issue number	3
DOIs	https://doi.org/10.1016/S0166-8641(01)00087-6
Publication status	Published - 2002 May 15

Keywords

(Co)homology local connectedness
Čech cohomology
Commutator length
Compact metrizable space
Singular homology

ASJC Scopus subject areas

Geometry and Topology

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10.1016/S0166-8641(01)00087-6

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title = "On (co)homology locally connected spaces",

abstract = "We prove that there exists a cohomology locally connected compact metrizable space which is not homology locally connected. In the category of compact Hausdorff spaces a similar result was proved earlier by G.E. Bredon.",

keywords = "(Co)homology local connectedness, {\v C}ech cohomology, Commutator length, Compact metrizable space, Singular homology",

author = "Katsuya Eda and Karimov, {Umed H.} and Du{\v s}an Repov{\v s}",

year = "2002",

month = may,

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doi = "10.1016/S0166-8641(01)00087-6",

language = "English",

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T1 - On (co)homology locally connected spaces

AU - Eda, Katsuya

AU - Karimov, Umed H.

AU - Repovš, Dušan

PY - 2002/5/15

Y1 - 2002/5/15

N2 - We prove that there exists a cohomology locally connected compact metrizable space which is not homology locally connected. In the category of compact Hausdorff spaces a similar result was proved earlier by G.E. Bredon.

AB - We prove that there exists a cohomology locally connected compact metrizable space which is not homology locally connected. In the category of compact Hausdorff spaces a similar result was proved earlier by G.E. Bredon.

KW - (Co)homology local connectedness

KW - Čech cohomology

KW - Commutator length

KW - Compact metrizable space

KW - Singular homology

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U2 - 10.1016/S0166-8641(01)00087-6

DO - 10.1016/S0166-8641(01)00087-6

M3 - Article

AN - SCOPUS:0038012874

SN - 0166-8641

VL - 120

SP - 397

EP - 401

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

On (co)homology locally connected spaces

Abstract

Keywords

ASJC Scopus subject areas

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