Maximal metrizable remainders of locally compact spaces

Autor:	Alexandre Karassev, Vitalij A. Chatyrko
Rok vydání:	2013
Předmět:	Combinatorics Discrete mathematics Metrization theorem Mathematics::General Topology Order (group theory) Geometry and Topology Locally compact space Element (category theory) Remainder Mathematics Separable space
Zdroj:	Topology and its Applications. 160:1292-1297
ISSN:	0166-8641
DOI:	10.1016/j.topol.2013.04.022
Popis:	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 ω 1 + 1 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8c94f09c37c86d514f728ca49908b3db https://doi.org/10.1016/j.topol.2013.04.022 Zobrazit plný text záznamu Full Text from ScienceDirect