Convergence of regular difilters and the completeness of di-uniformities

Özçağ, Selma; BROWN, Lawrence M.; Yıldız, Filiz

Convergence of regular difilters and the completeness of di-uniformities

Selma ÖZÇAĞ, (Hacettepe Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Filiz YILDIZ, (Hacettepe Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Lawrence M. BROWN (Hacettepe Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Hacettepe Journal of Mathematics and Statistics

1 0

Yıl: 2005 Cilt: 34 Sayı: supp Sayfa Aralığı: 53 - 68 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Convergence of regular difilters and the completeness of di-uniformities

Öz:

The authors propose a theory of convergence for regular difilters on a ditopological texture space and go on to discuss completeness and total boundedness of di-uniformities.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

1.Altay, A. and Diker, M. A Wallman type compactification of texture spaces, Preprint.
2.Brown, L. M. Relations and functions on textures, Preprint.
3.Brown, L. M. and Diker, M. Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98 (1998), 217-224.
4.Brown, L. M. and Diker, M. Paracompactness and full normality in ditopological texture spaces, J. Math. Anal. Appl. 227 (1998), 144-165.
5.Brown, L. M. and Ertürk, R. Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2) (2000), 227-236.
6.Brown, L. M., Ertürk R. and Dost, Ş. Ditopological texture spaces and fuzzy topology, I. Basic concepts, Fuzzy Sets and Systems 147(2) (2004), 171-199.
7.Brown, L. M., Ertürk, R. and Dost, Ş. Ditopological texture spaces and fuzzy topology, II. Topological considerations, Fuzzy Sets and Systems 147(2) (2004), 201-231.
8.Brown, L. M., Ertürk, R. and Dost, Ş. Ditopological texture spaces and fuzzy topology, III. Separation axioms, Submitted.
9.Gierz, G., Hofmann, K.H., Keimel, K., Lawson, J.D., Mislove, M. and Scott, D.S. A compendium of continuous lattices (Springer-Verlag, Berlin, 1980).
10.Gohar, M. M. Compactness in ditopological texture spaces, (PhD Thesis, Hacettepe University, 2002) (In English).
11.Özçağ, S. and Brown, L. M. Di-uniform texture spaces, Applied General Topology 4 (1) (2003), 157-192.
12.Özçağ, S. Uniform Texture Spaces, (Ph.D. Thesis (in Turkish), Hacettepe University, 2004).

APA	Özçağ S, Yıldız F, BROWN L (2005). Convergence of regular difilters and the completeness of di-uniformities. , 53 - 68.
Chicago	Özçağ Selma,Yıldız Filiz,BROWN Lawrence M. Convergence of regular difilters and the completeness of di-uniformities. (2005): 53 - 68.
MLA	Özçağ Selma,Yıldız Filiz,BROWN Lawrence M. Convergence of regular difilters and the completeness of di-uniformities. , 2005, ss.53 - 68.
AMA	Özçağ S,Yıldız F,BROWN L Convergence of regular difilters and the completeness of di-uniformities. . 2005; 53 - 68.
Vancouver	Özçağ S,Yıldız F,BROWN L Convergence of regular difilters and the completeness of di-uniformities. . 2005; 53 - 68.
IEEE	Özçağ S,Yıldız F,BROWN L "Convergence of regular difilters and the completeness of di-uniformities." , ss.53 - 68, 2005.
ISNAD	Özçağ, Selma vd. "Convergence of regular difilters and the completeness of di-uniformities". (2005), 53-68.

APA	Özçağ S, Yıldız F, BROWN L (2005). Convergence of regular difilters and the completeness of di-uniformities. Hacettepe Journal of Mathematics and Statistics, 34(supp), 53 - 68.
Chicago	Özçağ Selma,Yıldız Filiz,BROWN Lawrence M. Convergence of regular difilters and the completeness of di-uniformities. Hacettepe Journal of Mathematics and Statistics 34, no.supp (2005): 53 - 68.
MLA	Özçağ Selma,Yıldız Filiz,BROWN Lawrence M. Convergence of regular difilters and the completeness of di-uniformities. Hacettepe Journal of Mathematics and Statistics, vol.34, no.supp, 2005, ss.53 - 68.
AMA	Özçağ S,Yıldız F,BROWN L Convergence of regular difilters and the completeness of di-uniformities. Hacettepe Journal of Mathematics and Statistics. 2005; 34(supp): 53 - 68.
Vancouver	Özçağ S,Yıldız F,BROWN L Convergence of regular difilters and the completeness of di-uniformities. Hacettepe Journal of Mathematics and Statistics. 2005; 34(supp): 53 - 68.
IEEE	Özçağ S,Yıldız F,BROWN L "Convergence of regular difilters and the completeness of di-uniformities." Hacettepe Journal of Mathematics and Statistics, 34, ss.53 - 68, 2005.
ISNAD	Özçağ, Selma vd. "Convergence of regular difilters and the completeness of di-uniformities". Hacettepe Journal of Mathematics and Statistics 34/supp (2005), 53-68.