Results 1 to 10 of about 146 (38)
Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology
Topological Algebra and its Applications, 2013 In this paper we introduce perfectly supportable semigroups and prove that they are \sigma-discrete in each Hausdorff shift-invariant topology. The class of perfectly supportable semigroups includes each subsemigroup S of the semigroup FRel(X) of ...
Banakh Taras, Guran Igor
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On locally compact semitopological O-bisimple inverse ω-semigroups
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero
Topological Algebra and its Applications, 2022 Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
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Web spaces and worldwide web spaces: topological aspects of domain theory [PDF]
Logical Methods in Computer Science, 2019 Web spaces, wide web spaces and worldwide web spaces (alias C-spaces) provide useful generalizations of continuous domains. We present new characterizations of such spaces and their patch spaces, obtained by joining the original topology with a second ...
Marcel Erné
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Computably Based Locally Compact Spaces [PDF]
Logical Methods in Computer Science, 2006 ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated lambda-calculus.
Paul Taylor
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Measure-theoretic characterizations of certain topological properties [PDF]
, 2005 It is shown that Cech completeness, ultra completeness and local compactness can be defined by demanding that certain equivalences hold between certain lasses of Baire measures or by demanding that certain lasses of Baire measures have non-empty support.
Buhagiar, David +2 more
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Local compactness in approach spaces I
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 429-438, 1998., 1998 This paper introduces some definitions of a concept of local compactness in approach spaces. The basic relationships between these concepts is studied, and measures of local compactness are defined.
R. Lowen, C. Verbeeck
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International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 687-692, 1994., 1994 In this paper we study θ‐regularity and its relations to other topological properties. We show that the concepts of θ‐regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. Regular, strongly locally compact or paracompact spaces are θ‐regular.
Martin M. Kovár
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International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 615-619, 1985., 1985 In this paper we define a topological space X to be θ‐regular if every filterbase in X with a nonempty θ‐adherence has a nonempty adherence. It is shown that the class of θ‐regular topological spaces includes rim‐compact topological spaces and that θ‐regular H(i) (Hausdorff) topological spaces are compact (regular).
Dragan S. Janković
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Selective Games on Binary Relations [PDF]
, 2014 We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.Comment: 28 ...
Dias, Rodrigo R., Scheepers, Marion
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