Results 21 to 30 of about 367,563 (325)
Local compactness in approach spaces I [PDF]
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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Finite Unions of D-Spaces and Applications of Nearly Good Relation
Some results are obtained on finite unions of D-spaces. It is proved that if a space is the union of finitely many locally compact D-subspaces, then it is a D-space. It follows that a space is a D-space if it is the union of finitely many locally compact
Xin Zhang, Hongfeng Guo, Yuming Xu
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Pairwise locally compact and compactification in
The concept of intuitionistic topological space was introduced by Çoker. The aim of this paper is to generalize notions between bitopological spaces and double topological spaces and also give a notion of pairwise locally compact and compactification ...
Rewayda Mohsin
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous ...
Gianni Bosi, Magalì Zuanon
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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.
Martin M. Kovár
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Continuous functions with compact support
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
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On Some Results in Fuzzy Length Space
In this paper, depending on the notion of fuzzy length space we define the Cartesian product of two fuzzy length spaces. we proved that the Cartesian product of two fuzzy length spaces is a fuzzy length space.
Raghad I. Sabri +2 more
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$L^p$-Conjecture on Hypergroups [PDF]
In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where ...
Seyyed Mohammad Tabatabaie +1 more
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Computably Based Locally Compact Spaces [PDF]
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.
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On some problems of instability in semi-dynamical systems
The problem of instability of a closed positively invariant set M of a semi-dynamical system on an arbitrary metric space X is considered. The Lyapunov’s direct method for such problems has been developed quite completely in the case when M is compact ...
Boris S. Kalitine
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