Lupianez, Francisco Gallego
(2001)
*C-Scattered Fuzzy Topological Spaces.*
Applied Mathematics Letters, 14
(2).
pp. 201-204.
ISSN 0893-9659

PDF
Restricted to Repository staff only until 2020. 254kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0893965900001361

## Abstract

In this paper, we define the concept of C-scattered fuzzy topological spaces and obtain some properties about them. In particular, we study the relation between C-scattered spaces and its fuzzy extension, it is proved that C-scattered fuzzy topological spaces are invariant by fuzzy perfect maps, and that, in the realm of paracompact fuzzy topological spaces, the C-scattered spaces verify that their product by other fuzzy spaces is also paracompact fuzzy.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Topology; C-scattered and scattered topological spaces; Compactness; Fuzzy perfect maps; S-paracompactness; S*-paracompactness; Fuzzy paracompactness; *-Fuzzy paracompactness. |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 15310 |

References: | R. Telg£rsky, C-scattered and paracompact spaces, Fund. Math. 73, 59-74, (1971). R. Telg£rsky, Spaces defined by topological games, Fund. Math. 86, 193-223, (1975). R. Telg£rsky, Spaces defined by topological games II, Fund. Math. 116, 189-207, (1983). R. Telg~rsky, On sieve-complete and compact-like spaces, Topology Appl. 16, 61-68, (1983). R.N. Ormosadze, On C-scattered and scattered mappings, (in Russian), Soobshch. Akad. Nauk Gruzin. SSR 92, 49-52, (1978). N.K. Dodon and M.M. Coban, Theory of P-Scattered Spaces, (in Russian), Shtiintsa, Kishinev, (1979) N.K. Dodon and M.M. Coban, Properties of paracompactness type, reducible and dispersed spaces, (in Russian), Mat. Issled. 76, 14-23, (1984). L.M. Friedler, H.W. Martin and S.W. Williams, Paracompact C-scattered spaces, Pacific J. Math. 129, 277-296, (1987). T. Nogura, A compact-like space which does not have a countable cover by C-scattered closed subsets, Proc. Japan Acad. Set. A 59, 83-84, (1983). Y. Yajima, Topological games and applications, In Topics in General Topology, pp. 523-562,Elsevier,Amsterdam,(1989). F.G. Lupi£fiez, On covering properties, Math. Nachr. 141, 37-43, (1989). F.G. Lupi£fiez, On some ultraparacompact spaces, Acta Math. Hung. 56, 23-28, (1990). F.G. Lupi£fiez, Concerning ultraparacompact spaces, Quest. ~¢ Ans. Gen. Topology 11, 145-152, (1993). C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182-190, (1968). P.-M. Pu and Y.-M. Liu, Fuzzy topology I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76, 571-599, (1980). R. Lowen, A comparison of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl. 64, 446-454, (1978). F.T. Christoph, Quotient fuzzy topology and local compactness, J. Math. Anal. Appl. 57, 497-504, (1977). M.-K. Luo, Paracompactness in fuzzy topological spaces, J. Math. Anal. Appl. 130, 55-77, (1988). M.E.A. E1-Monsef, F.M. Zeyada, S.N. EI-Deeb and I.H. Hanafy, Good extensions of paracompactness, Math. Japonica 37, 195-200, (1992). C.K. Tong, Fuzzy topology: Product and quotient theorems, J. Math. Anal. Appl. 45, 512-521, (1974). |

Deposited On: | 22 May 2012 09:21 |

Last Modified: | 06 Feb 2014 10:21 |

Repository Staff Only: item control page