Locally ordered topological spaces
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RIS BIB ENDNOTELocally ordered topological spaces
Publication date: 20.08.2020
Reports on Mathematical Logic, 2020, Number 55, pp. 113-141
https://doi.org/10.4467/20842589RM.20.006.12438Authors
Locally ordered topological spaces
While topology given by a linear order has been extensively studied, this cannot be said about the case when the order is given only locally. The aim of this paper is to fill this gap. We consider relation between local orderability and separation axioms and give characterisation of those regularly locally ordered spaces which are connected, locally connected or Lindel¨of. We prove that local orderability is hereditary on open, connected or compact subsets. A collection of interesting examples is also offered.
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Information: Reports on Mathematical Logic, 2020, Number 55, pp. 113-141
Article type: Original article
Institute of Mathematics, Jagiellonian University, Cracow, Poland
Published at: 20.08.2020
Received at: 08.06.2020
Article status: Open
Licence: CC BY-NC-ND
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English