Categories of dicompact bi-t2 texture spaces and a banach-stone theorem

Filiz Yildiz; Lawrence M. Brown

doi:10.2989/16073600709486192

Categories of dicompact bi-t₂ texture spaces and a banach-stone theorem

Filiz Yildiz
, Lawrence M. Brown

Division of Topology

Hacettepe University

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

17 Citations (Scopus)

Abstract

The principal aim of this paper is to consider various aspects of the theory of dicompact bi-T₂ texture spaces, and place them in a categorical setting. It culminates in a version of the Banach-Stone theorem. On the way, a new class of textures, called here nearly plain textures, is seen to play a crucial role in the development of the theory.

Original language	English
Pages (from-to)	167-192
Number of pages	26
Journal	Quaestiones Mathematicae
Volume	30
Issue number	2
DOIs	https://doi.org/10.2989/16073600709486192
Publication status	Published - Jun 2007

Keywords

Adjoint functor
Banach-Stone theorem
C-space
Category
Dicompact
Ditopology
Equivalence
Nearly-plain texture
Real texture
T-lattice
Texture

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Cite this

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KW - Ditopology

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KW - T-lattice

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Categories of dicompact bi-t₂ texture spaces and a banach-stone theorem

Abstract

Keywords

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