Search Results - "Iliadis, S.D."

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  1. 1

    On sheaves of Abelian groups and universality by Iliadis, S.D., Sadovnichy, Yu. V.

    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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  2. 2

    Some properties of the containing spaces and saturated classes of spaces by Iliadis, S.D.

    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 by Georgiou, D.N., Iliadis, S.D., Megaritis, A.C.

    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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  5. 5

    Dimension and universality on frames by Iliadis, S.D.

    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 by Iliadis, S.D., Sadovnichy, Yu.V.

    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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  7. 7

    A note on locally v-bounded spaces by Georgiou, D.N., Iliadis, S.D.

    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 by Iliadis, S.D.

    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 by Georgiou, D.N., Iliadis, S.D., Papadopoulos, B.K.

    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 by Georgiou, D.N., Iliadis, S.D., Megaritis, A.C., Prinos, G.A.

    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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    A note on hierarchies of Borel type sets by Iliadis, S.D.

    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 by Gevorgyan, P.S., Iliadis, S.D., Sadovnichy, Yu.V.

    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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    On isometrically universal spaces, mappings, and actions of groups by Iliadis, S.D.

    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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