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Partial category actions on sets and topological spaces
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering.ORCID iD: 0000-0001-6594-7041
2018 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 46, no 2, p. 671-683Article in journal (Refereed) Published
Abstract [en]

We introduce (continuous) partial category actions on sets (topological spaces) and show that each such action admits a universal globalization. Thereby, we obtain a simultaneous generalization of corresponding results for groups, by Abadie, and Kellendonk and Lawson, and for monoids, by Megrelishvili and Schroder. We apply this result to the special case of partial groupoid actions where we obtain a sharpening of a result by Gilbert, concerning ordered groupoids, in the sense that mediating functions between universal globalizations always are injective.

Place, publisher, year, edition, pages
2018. Vol. 46, no 2, p. 671-683
Keywords [en]
Globalization; partial group action; partial groupoid action
National Category
Algebra and Logic
Research subject
ENGINEERING, Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-13484DOI: 10.1080/00927872.2017.1327057ISI: 000418083100016Scopus ID: 2-s2.0-85020741297OAI: oai:DiVA.org:hv-13484DiVA, id: diva2:1286377
Available from: 2019-02-06 Created: 2019-02-06 Last updated: 2019-05-28Bibliographically approved

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Nystedt, Patrik

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