| Title:
|
Making holes in the cone, suspension and hyperspaces of some continua (English) |
| Author:
|
Anaya, José G. |
| Author:
|
Castañeda-Alvarado, Enrique |
| Author:
|
Oca, Alejandro Fuentes-Montes de |
| Author:
|
Orozco-Zitli, Fernando |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2018 |
| Pages:
|
343-364 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A connected topological space $Z$ is { unicoherent} provided that if $Z=A\cup B$ where $A$ and $B$ are closed connected subsets of $Z$, then $A\cap B$ is connected. Let $Z$ be a unicoherent space, we say that $z\in Z$ {makes a hole} in $Z$ if $Z-\{z\}$ is not unicoherent. In this work the elements that make a hole to the cone and the suspension of a metric space are characterized. We apply this to give the classification of the elements of hyperspaces of some continua that make them hole. (English) |
| Keyword:
|
continuum |
| Keyword:
|
hyperspace |
| Keyword:
|
hyperspace suspension |
| Keyword:
|
property (b) |
| Keyword:
|
unicoherence |
| Keyword:
|
cone |
| Keyword:
|
suspension |
| MSC:
|
54B15 |
| MSC:
|
54B20 |
| MSC:
|
54F55 |
| idZBL:
|
Zbl 06940875 |
| idMR:
|
MR3861557 |
| DOI:
|
10.14712/1213-7243.2015.233 |
| . |
| Date available:
|
2018-09-10T12:14:51Z |
| Last updated:
|
2020-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147402 |
| . |
| Reference:
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