| Title:
|
On matrix points in Čech--Stone compactifications of discrete spaces (English) |
| Author:
|
Gryzlov, A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
775-780 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove the existence of $(2^\tau, \tau )$-matrix points among uniform and regular points of Čech--Stone compactification of uncountable discrete spaces and discuss some properties of these points. (English) |
| Keyword:
|
Čech--Stone compactification of discrete spaces |
| Keyword:
|
weak $p$-points |
| Keyword:
|
independent matrix |
| MSC:
|
54D35 |
| MSC:
|
54D40 |
| idZBL:
|
Zbl 0768.54019 |
| idMR:
|
MR1159825 |
| . |
| Date available:
|
2009-01-08T17:49:18Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118458 |
| . |
| Reference:
|
[K] Kunen K.: Weak $p$-points in $\beta N\setminus N$.Coll. Math. Soc. Janos Bolyai, Topology, Budapest, vol. 23, 341-349. |
| Reference:
|
[G$_1$] Gryzlov A.: Ob odnom klasse tochek prostranstva $N^{\ast }$.Leningradskaya mezhdunarodnaya konf., Leningrad, Nauka, 1982, p. 57. |
| Reference:
|
[G$_2$] Gryzlov A.: K teorii prostranstva $\beta N$.Obshchaya topologiya, Mosk. Univ., Moskva, 1986, 20-33. |
| Reference:
|
[EK] Engelking R., Karłowicz M.: Cartesian products and dyadic spaces.Fund. Math. 57 (1965), 287-304. MR 0196692 |
| . |
