| Title:
|
$\partial$-closed sets in biclosure spaces (English) |
| Author:
|
Boonpok, Chawalit |
| Language:
|
English |
| Journal:
|
Acta Mathematica Universitatis Ostraviensis |
| ISSN:
|
1214-8148 |
| Volume:
|
17 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
51-66 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, we introduce and study the concept of $\partial $-closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of $\partial $-continuous maps. (English) |
| Keyword:
|
closure operator |
| Keyword:
|
closure space |
| Keyword:
|
biclosure space |
| Keyword:
|
$\partial$-closed set |
| Keyword:
|
$\partial$-continuous map |
| MSC:
|
54A05 |
| MSC:
|
54E55 |
| idZBL:
|
Zbl 1237.54026 |
| idMR:
|
MR2582959 |
| . |
| Date available:
|
2010-03-08T21:28:58Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137527 |
| . |
| Reference:
|
[1] Čech, E.: Topological Spaces.Topological Papers of Eduard Čech, Academia, Prague (1968), 436–472 |
| Reference:
|
[2] Chvalina, J.: On homeomorphic topologies and equivalent set-systems.Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, XII (1976), 107–116 Zbl 0349.54002, MR 0438267 |
| Reference:
|
[3] Chvalina, J.: Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings.Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, XVII (1981), 81–86 Zbl 0478.54001, MR 0673249 |
| Reference:
|
[4] Dujunji, J.: Topology.Allyn and Bacon, Boston, 1966 MR 0193606 |
| Reference:
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[5] Gupta, M. K., Singh, Rupen Pratap: On fuzzy pairwise s-continuous and fuzzy pairwise s-open mapping.Int. J. Pure & Appl. Math. Sci. 1 (2004), 101–109 |
| Reference:
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[6] Kelly, K. C.: Bitopological spaces.Pro. London Math. Soc. 3(13) (1969), 71–79 MR 0143169 |
| Reference:
|
[7] Noiri, T., Popa, V.: Some properties of weakly open functions in bitopological spaces.Novi Sad J. Math. 36 (1) (2006), 47–54 Zbl 1164.54366, MR 2301925 |
| Reference:
|
[8] Sen, S. K., Mukherjee, M. N.: On extension of pairwise $\theta $-continuous maps.Internat. J. Math. Sci. 19 (1) (1966), 53–56 MR 1361976 |
| Reference:
|
[9] Skula, L.: Systeme von stetigen abbildungen.Czech. Math. J., 17 (92) (1967), 45–52 Zbl 0173.24803, MR 0206917 |
| Reference:
|
[10] Šlapal, J.: Closure operations for digital topology.Theoret. Comput. Sci., 305 (2003), 457–471 Zbl 1081.68111, MR 2013581, 10.1016/S0304-3975(02)00708-9 |
| . |
