On homologically locally connected spaces

Akira Koyama, Vesko Valov

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 languageEnglish
Pages (from-to)57-69
Number of pages13
JournalTopology and its Applications
Volume260
DOIs
Publication statusPublished - 2019 Jun 15

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Locally Connected
Metric space

Keywords

  • Fixed points
  • Homological selections
  • Homological UV sets

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

On homologically locally connected spaces. / Koyama, Akira; Valov, Vesko.

In: Topology and its Applications, Vol. 260, 15.06.2019, p. 57-69.

Research output: Contribution to journal › Article

Koyama, A & Valov, V 2019, 'On homologically locally connected spaces', Topology and its Applications, vol. 260, pp. 57-69. https://doi.org/10.1016/j.topol.2019.03.012
Koyama A, Valov V. On homologically locally connected spaces. Topology and its Applications. 2019 Jun 15;260:57-69. https://doi.org/10.1016/j.topol.2019.03.012
Koyama, Akira ; Valov, Vesko. / On homologically locally connected spaces. In: Topology and its Applications. 2019 ; Vol. 260. pp. 57-69.
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