Complutense University Library

C-Scattered Fuzzy Topological Spaces

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

[img] PDF
Restricted to Repository staff only until 2020.

254kB

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

View download statistics for this eprint

==>>> Export to other formats

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