Search Results - "Iliadis, S.D."
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On sheaves of Abelian groups and universality
Published in Applied general topology (01-04-2021)“…Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of…”
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Some properties of the containing spaces and saturated classes of spaces
Published in Applied general topology (01-10-2003)“…Subjects of this paper are: (a) containing spaces constructed in [2] for an indexed collection S of subsets, (b) classes consisting of ordered pairs (Q,X),…”
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Universal elements for some classes of spaces
Published in Applied general topology (01-01-2011)“…In the paper two dimensions, denoted by dm and Dm, are defined in the class of all Hausdorff spaces. The dimension Dm does not have the universality property…”
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Dimension and universality on frames
Published in Topology and its applications (15-03-2016)“…In this paper we first introduce the notion of a saturated class of frames and then define a dimension-like invariant of a frame, the so-called decomposition…”
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(Isometric) universality and actions of spaces, continuously containing topological groups
Published in Topology and its applications (15-04-2023)“…In this paper we consider the problem of (isometric) universality for the case, where the elements of a class of spaces, continuously containing topological…”
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A note on locally v-bounded spaces
Published in Applied general topology (01-10-2005)“…In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted…”
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A separable complete metric space of dimension n containing isometrically all compact metric spaces of dimension n
Published in Topology and its applications (01-07-2013)“…In the paper for any n∈ω we construct a separable complete metric n-dimensional space containing isometrically all compact metric n-dimensional spaces…”
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n-Tuple relations and topologies on function spaces
Published in Applied general topology (01-10-2003)“…In some results concerning S-splitting, S-jointly continuous, D-splitting and D-jointly continuous topologies are considered, where S and D are the Sierpinski…”
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Ideal-convergence classes
Published in Topology and its applications (15-05-2017)“…Let X be a non-empty set. We consider the class C consisting of triads (s,x,I), where s=(sd)d∈D is a net in X, x∈X, and I is an ideal of D. We shall find…”
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Yurii Mikhailovich Smirnov
Published in Topology and its applications (15-04-2023)Get full text
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A note on hierarchies of Borel type sets
Published in Topology and its applications (15-04-2012)“…The paper deals with classes of subsets, that is classes consisting of pairs (Q,X), where Q is a subset of a space X. The main result of the paper concerns the…”
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Universality on frames
Published in Topology and its applications (01-04-2017)“…In the present paper we consider so-called saturated classes of frames of weight less than or equal to a given infinite cardinal τ. Such classes are saturated…”
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Pavel Sergeevich Aleksandrov: (May 7, 1896–November 16, 1982)
Published in Topology and its applications (01-08-2017)Get full text
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Vitaly Vitalievich Fedorchuk (1942–2012)
Published in Topology and its applications (01-01-2015)Get full text
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On isometrically universal spaces, mappings, and actions of groups
Published in Topology and its applications (15-08-2008)“…In this paper we first consider some well-known classes of separable metric spaces which are isometrically ω-saturated (see [S.D. Iliadis, Universal Spaces and…”
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