Results 51 to 60 of about 6,504,546 (373)
COMPACT-F AND LINDEL o F- C SPACES
Journal of Kufa for Mathematics and Computer, 2010 In this paper, we introduce and study compact-F and Lindelof -C Spaces .Compact-F space is a topological space in which every compact subset is finite, Lindelof-C Space is a topological space in which every Lindelof subsets is countable several ...
Hadi J. Mustafa
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On generalization of homotopy axiom
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
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Topology and its Applications, 2002 AbstractA space X is called fibered if there exists a countable family γ of sets closed in X such that γ(x)=⋂{F:x∈F∈γ} is metrizable for each x∈X. In the paper we answer two problems of Tkachuk raised in [Topology Proc. 19 (1994) 321–334] about compact fibered spaces.
Zoltán Szentmiklóssy, János Gerlits
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Compactness in function spaces [PDF]
Topology and its Applications, 2019 Let $X$ be a locally compact topological space, $(Y,d)$ be a boundedly compact metric space and $LB(X,Y)$ be the space of all locally bounded functions from $X$ to $Y$. We characterize compact sets in $LB(X,Y)$ equipped with the topology of uniform convergence on compacta.
Dušan Holý, Ľubica Holá
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On Radon Barycenters of Measures on Spaces of Measures
Известия Иркутского государственного университета: Серия "Математика", 2023 We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
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Continuous images of Cantor's ternary set
, 2013 The Hausdorff-Alexandroff Theorem states that any compact metric space is the continuous image of Cantor's ternary set $C$. It is well known that there are compact Hausdorff spaces of cardinality equal to that of $C$ that are not continuous images of ...
Dreher, Fabian, Samuel, Tony
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Transactions of the American Mathematical Society, 1970 A directed space is a partially ordered topological space in which each two elements have a common predecessor. It is a consequence of a theorem of A. D. Wallace that a compact directed space is acyclic if each of its principal ideals is acyclic. This result is extended by considering the situation where at most finitely many principal ideals are not ...
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Test fields on compact space‐times
, 1990 In this paper, some basic aspects of (Lorentzian) field theory on compact Lorentz manifolds are studied. All compact space‐times are acausal, i.e., possess closed timelike curves; this makes them a useful testbed in analyzing some new notions of ...
U. Yurtsever
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Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
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Vietoris topology on spaces dominated by second countable ones
Open Mathematics, 2015 For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂
Islas Carlos, Jardon Daniel
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