Results 31 to 40 of about 1,258,991 (327)
The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
Engineering and Technology Journal, 2021 In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
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Quantum Stabilization of Compact Space by Extra Fuzzy Space [PDF]
, 2002 We investigate the quantized scalar field on the Kaluza-Klein spacetimes of $M^D\times T^d \times S_{FZ}$, where $M^D$ is the ordinary $D$ dimensional flat Minkowski spacetimes, $T^d $ is the $d$ dimensional commutative torus, and $S_{FZ}$ is a ...
Alekseev +35 more
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A class of spaces containing all generalized absolutely closed (almost compact) spaces
Applied General Topology, 2006 The class of θ-compact spaces is introduced which properly contains the class of almost compact (generalized absolutely closed) spaces and is strictly contained in the class of quasicompact spaces.
J.K. Kohli, A.K. Das
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Blackfolds, Plane Waves and Minimal Surfaces [PDF]
, 2015 Minimal surfaces in Euclidean space provide examples of possible non-compact horizon geometries and topologies in asymptotically flat space-time. On the other hand, the existence of limiting surfaces in the space-time provides a simple mechanism for ...
Armas, Jay, Blau, Matthias
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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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COMPUTABLY COMPACT METRIC SPACES
The Bulletin of Symbolic Logic, 2023 AbstractWe give a systematic technical exposition of the foundations of the theory of computably compact metric spaces. We discover several new characterizations of computable compactness and apply these characterizations to prove new results in computable analysis and effective topology.
RODNEY G. DOWNEY, ALEXANDER G. MELNIKOV
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Journal of Symbolic Logic, 1998 AbstractIn this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In §1 we prove that Loeb spaces are compact under various assumptions, and in §2 we prove that Loeb spaces are not compact under various other assumptions.
Jin, Renling, Shelah, Saharon
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Extension of Compact Operators from DF-spaces to C(K) spaces
Applied General Topology, 2006 It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.
Fernando Garibay Bonales +1 more
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Almost periodic mild solutions for stochastic delay functional. differential equations driven by a fractional Brownian motion [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we investigate the existence and stability of quadratic-mean almost periodic mild solutions to stochastic delay functional differential equations driven by fractional Brownian motion with Hurst parameter H > 1/2 , under some suitable ...
Toufik Guendouzi,, Khadem Mehdi
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On the Čech-Completeness of the Space of τ-Smooth Idempotent Probability Measures
AxiomsFor the set I(X) of probability measures on a compact Hausdorff space X, we propose a new way to introduce the topology by using the open subsets of the space X.
Ljubiša D. R. Kočinac +2 more
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