# Adhesive and quasiadhesive categories

Stephen Lack; Paweł Sobociński

RAIRO - Theoretical Informatics and Applications (2010)

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

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topLack, 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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