Remainders in extensions and finite unions of locally compact sets
2010 (English)In: ACTA MATHEMATICA HUNGARICA, ISSN 0236-5294, Vol. 128, no 4, 344-357 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Springer Science Business Media , 2010. Vol. 128, no 4, 344-357 p.
locally compact, remainder, extension, compactification
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-58541DOI: 10.1007/s10474-010-9204-9ISI: 000280372800005OAI: oai:DiVA.org:liu-58541DiVA: diva2:343387