Results 41 to 50 of about 147 (121)
Complete metric absolute neighborhood retracts
We characterize complete metric absolute (neighborhood) retracts in terms of existence of certain maps of CW-polytopes. Using our result, we prove that a compact metric space with a convex and locally convex simplicial structure is an AR.
Kubiś, Wiesław
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In this paper we study properties of metric spaces. We consider the collection of all nonempty closed subsets, Cl(X), of a metric space (X,d) and topologies on C.(X) induced by d.
Freeman, Jeannette Broad
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International audienceLet M be a complete separable metric space with negative curvature as defined by Herer. Using Herer’s definition of the mathematical expectation of a random point of M, we extend to sequences of random points of M a pointwise ...
Raynaud de Fitte, Paul
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Investigation of the guanine quadruplex resolving activity of the DEAH-box RNA helicase RHAU [PDF]
Generally depicted as single- or double-stranded molecules, nucleic acids sequences can adopt various forms of stable secondary structures. In particular, guanine-riche sequence of DNA and RNA can form atypical four-stranded helical structures termed G ...
Lattmann, Simon
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Dopaminergic Gene Dosage Reveals Distinct Biological Partitions between Autism and Developmental Delay as Revealed by Complex Network Analysis and Machine Learning Approaches. [PDF]
Santos A +3 more
europepmc +1 more source
On hit-and-miss hyperspace topologies [PDF]
summary:The Vietoris topology and Fell topologies on the closed subsets of a Hausdorff uniform space are prototypes for hit-and-miss hyperspace topologies, having as a subbase all closed sets that hit a variable open set, plus all closed sets that miss (=
Gerald Beer +3 more
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Topologies on closed and closed convex sets
This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well.
Beer, Gerald
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Study of statistical and I-convergences in topological spaces
Let X be a non-empty set and C be a class consisting of triads ((s_d)_{d∈D},x,I), where (s_d)_{d∈D} is a net in X, x∈X and I is an ideal of the directed set D. We define the properties that such a class must have and call it an ideal convergence class in
Πρίνος, Γεώργιος +1 more
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Topological Games and Hyperspace Topologies [PDF]
The paper proposes a uni?ed description of hypertopologies, i.e. topologies on the nonempty closed subsets of a topological space, based on the notion of approach spaces introduced by R. Lowen. As a special case of this description we obtain the abstract
Zsilinszky, Laszlo +1 more
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The hyperspace of an analytic metrizable space is analytic
Se (X, Ƭ) è uno spazio analitico metrizzabile e d una metrica compatibile con la topologia Ƭ allora l'iperspazio CL(X) dotato della topologia d-Wijsman è anch'esso analitico e metrizzabile.
Barbati, Alberto
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