Linking the closure and orthogonality properties of perfect morphisms in a category

David Holgate

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 587-607
  • ISSN: 0010-2628

Abstract

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We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.

How to cite

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Holgate, David. "Linking the closure and orthogonality properties of perfect morphisms in a category." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 587-607. <http://eudml.org/doc/248223>.

@article{Holgate1998,
abstract = {We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.},
author = {Holgate, David},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {perfect morphism; (pullback) closure operator; factorisation theory; orthogonal morphisms; perfect map; Tychonov topological space; endofunctor},
language = {eng},
number = {3},
pages = {587-607},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Linking the closure and orthogonality properties of perfect morphisms in a category},
url = {http://eudml.org/doc/248223},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Holgate, David
TI - Linking the closure and orthogonality properties of perfect morphisms in a category
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 587
EP - 607
AB - We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
LA - eng
KW - perfect morphism; (pullback) closure operator; factorisation theory; orthogonal morphisms; perfect map; Tychonov topological space; endofunctor
UR - http://eudml.org/doc/248223
ER -

References

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