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Partial category actions on sets and topological spaces
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avdelningen för Matematik, Data- och Lantmäteriteknik.ORCID-id: 0000-0001-6594-7041
2018 (engelsk)Inngår i: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 46, nr 2, s. 671-683Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2018. Vol. 46, nr 2, s. 671-683
Emneord [en]
Globalization; partial group action; partial groupoid action
HSV kategori
Forskningsprogram
TEKNIK, Matematik
Identifikatorer
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
Tilgjengelig fra: 2019-02-06 Laget: 2019-02-06 Sist oppdatert: 2019-05-28bibliografisk kontrollert

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