On homologically locally connected spaces

Akira Koyama; Vesko Valov

doi:10.1016/j.topol.2019.03.012

On homologically locally connected spaces

Akira Koyama, Vesko Valov

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

Abstract

We provide some properties and characterizations of homologically UV ⁿ -maps and lc _G ⁿ -spaces. We show that there is a parallel between recently introduced by Cauty [3] algebraic ANR's and homologically lc _G ⁿ -metric spaces, and this parallel is similar to the parallel between ordinary ANR's and LC ⁿ -metric spaces. We also show that there is a similarity between the properties of LC ⁿ -spaces and lc _G ⁿ -spaces. Some open questions are raised.

Original language	English
Pages (from-to)	57-69
Number of pages	13
Journal	Topology and its Applications
Volume	260
DOIs	https://doi.org/10.1016/j.topol.2019.03.012
Publication status	Published - 2019 Jun 15

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Keywords

Fixed points
Homological selections
Homological UV sets

ASJC Scopus subject areas

Geometry and Topology

Cite this

Koyama, A., & Valov, V. (2019). On homologically locally connected spaces. Topology and its Applications, 260, 57-69. https://doi.org/10.1016/j.topol.2019.03.012

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abstract = " We provide some properties and characterizations of homologically UV n -maps and lc G n -spaces. We show that there is a parallel between recently introduced by Cauty [3] algebraic ANR's and homologically lc G n -metric spaces, and this parallel is similar to the parallel between ordinary ANR's and LC n -metric spaces. We also show that there is a similarity between the properties of LC n -spaces and lc G n -spaces. Some open questions are raised. ",

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AB - We provide some properties and characterizations of homologically UV n -maps and lc G n -spaces. We show that there is a parallel between recently introduced by Cauty [3] algebraic ANR's and homologically lc G n -metric spaces, and this parallel is similar to the parallel between ordinary ANR's and LC n -metric spaces. We also show that there is a similarity between the properties of LC n -spaces and lc G n -spaces. Some open questions are raised.

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KW - Homological UV sets

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Access to Document

10.1016/j.topol.2019.03.012