On homologically locally connected spaces

Akira Koyama*, Vesko Valov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Publication statusPublished - 2019 Jun 15


  • Fixed points
  • Homological UV sets
  • Homological selections

ASJC Scopus subject areas

  • Geometry and Topology


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