Zobrazeno 1 - 4
of 4
pro vyhledávání: '"hereditarily separable topology"'
Publikováno v:
Mathematics, Vol 11, Iss 20, p 4335 (2023)
We investigate properties of strongly useful topologies, i.e., topologies with respect to which every weakly continuous preorder admits a continuous order-preserving function. In particular, we prove that a topology is strongly useful provided that t
Externí odkaz:
https://doaj.org/article/45edc481c3bb4d0c8735a145ee4ff1ba
Akademický článek
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Autor:
Gianni Bosi, Gerhard Herden
Publikováno v:
Applied General Topology, Vol 3, Iss 2, Pp 145-167 (2002)
Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this paper we characterize in ZFC (Zerme
Externí odkaz:
https://doaj.org/article/a2a69bf510f84742ae12e85fcf2f6394
Autor:
Gerhard Herden, Gianni Bosi
Publikováno v:
Applied General Topology, Vol 3, Iss 2, Pp 145-167 (2002)
RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this paper we characterize in ZFC (Zerme