Adhesive and quasiadhesive categories

Stephen Lack; Paweł Sobociński

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 39, Issue: 3, page 511-545
  • ISSN: 0988-3754

Abstract

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We introduce adhesive categories, which are categories with structure ensuring that pushouts along monomorphisms are well-behaved, as well as quasiadhesive categories which restrict attention to regular monomorphisms. Many examples of graphical structures used in computer science are shown to be examples of adhesive and quasiadhesive categories. Double-pushout graph rewriting generalizes well to rewriting on arbitrary adhesive and quasiadhesive categories.

How to cite

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Lack, Stephen, and Sobociński, Paweł. "Adhesive and quasiadhesive categories." RAIRO - Theoretical Informatics and Applications 39.3 (2010): 511-545. <http://eudml.org/doc/92777>.

@article{Lack2010,
abstract = { We introduce adhesive categories, which are categories with structure ensuring that pushouts along monomorphisms are well-behaved, as well as quasiadhesive categories which restrict attention to regular monomorphisms. Many examples of graphical structures used in computer science are shown to be examples of adhesive and quasiadhesive categories. Double-pushout graph rewriting generalizes well to rewriting on arbitrary adhesive and quasiadhesive categories. },
author = {Lack, Stephen, Sobociński, Paweł},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Adhesive categories; quasiadhesive categories; extensive categories; category theory; graph rewriting; adhesive categories; extensive categories},
language = {eng},
month = {3},
number = {3},
pages = {511-545},
publisher = {EDP Sciences},
title = {Adhesive and quasiadhesive categories},
url = {http://eudml.org/doc/92777},
volume = {39},
year = {2010},
}

TY - JOUR
AU - Lack, Stephen
AU - Sobociński, Paweł
TI - Adhesive and quasiadhesive categories
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 39
IS - 3
SP - 511
EP - 545
AB - We introduce adhesive categories, which are categories with structure ensuring that pushouts along monomorphisms are well-behaved, as well as quasiadhesive categories which restrict attention to regular monomorphisms. Many examples of graphical structures used in computer science are shown to be examples of adhesive and quasiadhesive categories. Double-pushout graph rewriting generalizes well to rewriting on arbitrary adhesive and quasiadhesive categories.
LA - eng
KW - Adhesive categories; quasiadhesive categories; extensive categories; category theory; graph rewriting; adhesive categories; extensive categories
UR - http://eudml.org/doc/92777
ER -

References

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