| Title:
|
Paratopological (topological) groups with certain networks (English) |
| Author:
|
Liu, Chuan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
111-119 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we discuss certain
networks on paratopological (or
topological) groups and give positive
or negative answers to the questions
in [Lin2013]. We also prove that a
non-locally compact, $k$-gentle
paratopological group is metrizable if
its remainder (in the Hausdorff
compactification) is
a Fréchet-Urysohn space with a
point-countable cs*-network, which
improves some theorems in
[Liu C., Metrizability of paratopological
$($semitopological$)$ groups,
Topology Appl. 159 (2012), 1415--1420],
[Liu C., Lin S., Generalized metric
spaces with algebraic structures,
Topology Appl. 157 (2010), 1966--1974]. (English) |
| Keyword:
|
paratopological groups |
| Keyword:
|
topological groups |
| Keyword:
|
sequential neighborhood |
| Keyword:
|
networks |
| Keyword:
|
metrizable |
| Keyword:
|
compactifications |
| Keyword:
|
remainders |
| MSC:
|
54E20 |
| MSC:
|
54E35 |
| MSC:
|
54H11 |
| idZBL:
|
Zbl 06383788 |
| idMR:
|
MR3160829 |
| . |
| Date available:
|
2014-01-17T09:39:15Z |
| Last updated:
|
2016-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143571 |
| . |
| Reference:
|
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| . |
