TY - JOUR
T1 - On homologically locally connected spaces
AU - Koyama, Akira
AU - Valov, Vesko
N1 - Funding Information:
The author was partially supported by Grant-in-Aid for Scientific Research (C) 16K05160.The author was partially supported by NSERC Grant 261914-13.
Publisher Copyright:
© 2019 Elsevier B.V.
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 UV sets
KW - Homological selections
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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 -