Title of article
Zariski closure, completeness and compactness
Author/Authors
Giuli، نويسنده , , Eraldo، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2006
Pages
11
From page
3158
To page
3168
Abstract
The categorical theory of closure operators is used to introduce and study separated, complete and compact objects with respect to the Zariski closure operator naturally defined in any category X ( A , Ω ) obtained by a given complete category X (endowed with a proper factorization structure for morphisms) and by a given X -algebra ( A , Ω ) by forming the affine X -objects modelled by ( A , Ω ) . Several basic examples are provided.
Keywords
Separated object , Complete object , Compact object , Closure space , Fuzzy space , Approach space , Sober space , Affine object , Zariski closure
Journal title
Topology and its Applications
Serial Year
2006
Journal title
Topology and its Applications
Record number
1580997
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