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

Keywords

Fixed points
Homological selections
Homological UV sets

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1016/j.topol.2019.03.012

Fingerprint Dive into the research topics of 'On homologically locally connected spaces'. Together they form a unique fingerprint.

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

@article{5732f8d1a6204e498acfb05592ff6c3a,

title = "On homologically locally connected spaces",

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. ",

keywords = "Fixed points, Homological selections, Homological UV sets",

author = "Akira Koyama and Vesko Valov",

year = "2019",

month = jun,

day = "15",

doi = "10.1016/j.topol.2019.03.012",

language = "English",

volume = "260",

pages = "57--69",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier",

}

TY - JOUR

T1 - On homologically locally connected spaces

AU - Koyama, Akira

AU - Valov, Vesko

PY - 2019/6/15

Y1 - 2019/6/15

N2 - 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.

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.

KW - Fixed points

KW - Homological selections

KW - Homological UV sets

UR - http://www.scopus.com/inward/record.url?scp=85063738469&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063738469&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2019.03.012

DO - 10.1016/j.topol.2019.03.012

M3 - Article

AN - SCOPUS:85063738469

VL - 260

SP - 57

EP - 69

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -