Functorial comparisons of bitopology with topology and the case for redundancy of bitopology in lattice-valued mathematics

Functorial comparisons of bitopology with topology and the case for redundancy of bitopology in lattice-valued mathematics

This paper studies various functors between (lattice-valued) topology and (lattice-valued) bitopology, including the expected “doubling” functor Ed : L-Top → L-BiTop and the “cross” functor E× : L-BiTop → L2-Top introduced in this paper, both of which are extremely well-behaved strict, concrete, ful...

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Bibliographic Details
Main Author: S.E. Rodabaugh
Format: Article
Language:English
Published: Universitat Politècnica de València 2008-04-01
Series:Applied General Topology
Subjects:
Unital-semi-quantale
Unital quantale
(fixed-basis) topology
(fixed-basis) bitopology
Order-isomorphism
Categorical (functorial) embedding
Redundancy
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1871

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1871

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