Near compactness of ditopological texture spaces

Lawrence M. BROWN; Muhammed M. GOHAR

Makale detayları

Near compactness of ditopological texture spaces

Yazarlar:

Lawrence M. BROWN | Muhammed M. GOHAR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 2, pp.261-276

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453081

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

The authors consider the notions of near compactness, near cocompactness, near stability, near costability and near dicompactness in the setting of ditopological texture spaces. In particular preservation of these
properties under surjective R-dimaps, co-R-dimaps and bi-R-dimaps
is investigated and non-trivial characterizations of near dicompactness
are given which generalize those for dicompactness. The notions of
semiregularization, semicoregularization and semibiregularization are
defined and used to give generalizations of Mrówka’s Theorem for near
compactness and near cocompactness, and of Tychonoff’s Theorem for
near compactness, near cocompactness and near dicompactness. Also,
results related to pseudo-open and pseudo-closed sets are presented.
Finally, examples are given of co-T1T1T_{1} nearly dicompact ditopologies on
textures which are not nearly plain and an open question is posed.

Makale detayları

Near compactness of ditopological texture spaces

Yazarlar: Lawrence M. BROWN | Muhammed M. GOHAR

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 2, pp.261-276

Belge Tipi: Makale

Yayın Tarihi: 3/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000453081

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Lawrence M. BROWN | Muhammed M. GOHAR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 2, pp.261-276

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453081

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X