Title of article
Topologies on X as points within
Author/Authors
Bruno، نويسنده , , Jorge L. and McCluskey، نويسنده , , Aisling E.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
6
From page
3027
To page
3032
Abstract
A topology on a nonempty set X specifies a natural subset of P ( X ) . By identifying P ( P ( X ) ) with the totally disconnected compact Hausdorff space 2 P ( X ) , the lattice Top ( X ) of all topologies on X is a natural subspace therein. We investigate topological properties of Top ( X ) and give sufficient model-theoretic conditions for a general subspace of 2 P ( X ) to be compact.
Keywords
Stone space 2 P ( X ) , Model-theoretic conditions for compactness , Subspaces of 2 P ( X ) , Top ( X )
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583466
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