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Maximal metrizable remainders of locally compact spaces
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Nipissing University, Canada .
2013 (English)In: Topology and its Applications, ISSN 0166-8641, E-ISSN 1879-3207, Vol. 160, no 11, 1292-1297 p.Article in journal (Refereed) Published
Abstract [en]

Let R-con be the set of classes R(X) of remainders of metrizable compactifications of all locally compact noncompact connected separable metrizable spaces X. Results of Chatyrko and Karassev (2013) [4] imply that R-con is ordered by inclusion. For a given locally compact noncompact connected metrizable space X we construct a zero-dimensional metrizable remainder of X which contains any other zero-dimensional element of R(X). As application of this we show that R-con, ordered by inclusion, is isomorphic to omega(1) + 1.

Place, publisher, year, edition, pages
Elsevier , 2013. Vol. 160, no 11, 1292-1297 p.
Keyword [en]
Locally compact space; Separable metrizable space; Metrizable compactification; Metrizable remainder; Maximal remainder; Order
National Category
Medical and Health Sciences
Identifiers
URN: urn:nbn:se:liu:diva-96457DOI: 10.1016/j.topol.2013.04.022ISI: 000321166500017OAI: oai:DiVA.org:liu-96457DiVA: diva2:642938
Available from: 2013-08-23 Created: 2013-08-20 Last updated: 2017-12-06

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