Real dicompact textures

Filiz Yildiz; Lawrence M. Brown

doi:10.1016/j.topol.2009.03.021

Real dicompact textures

Filiz Yildiz
, Lawrence M. Brown

Division of Topology

Hacettepe University

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

A notion of real compactness for completely biregular bi-T₂ ditopological texture spaces is defined and studied under the name real dicompactness. In particular it is shown that real dicompact spaces are nearly plain *-spaces, and an important characterization is presented. Finally the connection of this work with topological and bitopological real compactness is discussed in a categorical setting.

Original language	English
Pages (from-to)	1970-1984
Number of pages	15
Journal	Topology and its Applications
Volume	156
Issue number	11
DOIs	https://doi.org/10.1016/j.topol.2009.03.021
Publication status	Published - 15 Jun 2009

Keywords

Adjoint functor
Bitopology
C-space
Category
Ditopology
Equivalence
Hewitt isomorphism theorem
Nearly-plain texture
Plain texture
Real dicompactness
Real texture
T-lattice
Texture

Access to Document

10.1016/j.topol.2009.03.021

Cite this

@article{f4f074263ff84beeae2bda93f9f12734,

title = "Real dicompact textures",

abstract = "A notion of real compactness for completely biregular bi-T2 ditopological texture spaces is defined and studied under the name real dicompactness. In particular it is shown that real dicompact spaces are nearly plain *-spaces, and an important characterization is presented. Finally the connection of this work with topological and bitopological real compactness is discussed in a categorical setting.",

keywords = "Adjoint functor, Bitopology, C-space, Category, Ditopology, Equivalence, Hewitt isomorphism theorem, Nearly-plain texture, Plain texture, Real dicompactness, Real texture, T-lattice, Texture",

author = "Filiz Yildiz and Brown, \{Lawrence M.\}",

year = "2009",

month = jun,

day = "15",

doi = "10.1016/j.topol.2009.03.021",

language = "English",

volume = "156",

pages = "1970--1984",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

number = "11",

}

TY - JOUR

T1 - Real dicompact textures

AU - Yildiz, Filiz

AU - Brown, Lawrence M.

PY - 2009/6/15

Y1 - 2009/6/15

N2 - A notion of real compactness for completely biregular bi-T2 ditopological texture spaces is defined and studied under the name real dicompactness. In particular it is shown that real dicompact spaces are nearly plain *-spaces, and an important characterization is presented. Finally the connection of this work with topological and bitopological real compactness is discussed in a categorical setting.

AB - A notion of real compactness for completely biregular bi-T2 ditopological texture spaces is defined and studied under the name real dicompactness. In particular it is shown that real dicompact spaces are nearly plain *-spaces, and an important characterization is presented. Finally the connection of this work with topological and bitopological real compactness is discussed in a categorical setting.

KW - Adjoint functor

KW - Bitopology

KW - C-space

KW - Category

KW - Ditopology

KW - Equivalence

KW - Hewitt isomorphism theorem

KW - Nearly-plain texture

KW - Plain texture

KW - Real dicompactness

KW - Real texture

KW - T-lattice

KW - Texture

UR - https://www.scopus.com/pages/publications/67349281935

U2 - 10.1016/j.topol.2009.03.021

DO - 10.1016/j.topol.2009.03.021

M3 - Article

AN - SCOPUS:67349281935

SN - 0166-8641

VL - 156

SP - 1970

EP - 1984

JO - Topology and its Applications

JF - Topology and its Applications

IS - 11

ER -

Real dicompact textures

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this