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Remainders in extensions and finite unions of locally compact sets
Linköpings universitet, Matematiska institutionen. Linköpings universitet, Tekniska högskolan.
Shimane University.
2010 (engelsk)Inngår i: ACTA MATHEMATICA HUNGARICA, ISSN 0236-5294, Vol. 128, nr 4, s. 344-357Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We discuss the relationship between properties of spaces and their remainders in extensions from the class P (fin) of all finite unions of locally compact spaces. In particular, we show that a space X a P (fin) iff the remainder in each (some) compactification of X is in P (fin). Then we study the class P (fin) and the relationship between the remainders of a space from this class in compact extensions and give a generalization of the theorem of Henriksen-Isbell.

sted, utgiver, år, opplag, sider
Springer Science Business Media , 2010. Vol. 128, nr 4, s. 344-357
Emneord [en]
locally compact, remainder, extension, compactification
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-58541DOI: 10.1007/s10474-010-9204-9ISI: 000280372800005OAI: oai:DiVA.org:liu-58541DiVA, id: diva2:343387
Tilgjengelig fra: 2010-08-13 Laget: 2010-08-13 Sist oppdatert: 2010-08-13

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