Results 11 to 20 of about 39,057 (38)
On the infimum of a quasiconvex vector function over an intersection [PDF]
We give sufficient conditions for the infimum of a quasiconvex vector function f over an intersection ⋂i∈IRi to agree with the supremum of the infima of f over the Ri ...
Martinón, Antonio +1 more
core +2 more sources
On Gruenhage spaces, separating σ-isolated families, and their relatives [PDF]
We prove that, given a topological space X, the following conditions are equivalent. (α) X is a Gruenhage space. (β) X has a countable cover by sets of small local diameter (property SLD) by F∩G sets. (γ) X has a separating σ-isolated family M⊂F∩G. (δ) X
García-Castaño, Fernando +1 more
core +2 more sources
The Bi-Compact-Open Topology on C(X)
For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join
Jindal, Anubha, Kundu, S., McCoy, R. A.
core +1 more source
Lipschitz functions on topometric spaces
We study functions on topometric spaces which are both (metrically) Lipschitz and (topologically) continuous, using them in contexts where, in classical topology, ordinary continuous functions are used.
Yaacov, Itaï Ben
core +2 more sources
We use non-symmetric distances to give a self-contained account of C*-algebra filters and their corresponding compact projections, simultaneously simplifying and extending their general ...
Bice, Tristan, Vignati, Alessandro
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Skeletally generated spaces and absolutes [PDF]
Some properties of skelatally generated spaces are established. In particular, it is shown that any compactum co-absolute to a $\kappa$-metrizable compactum is skeletally generated.
Valov, V.
core
On the topology of free paratopological groups
The result often known as Joiner's lemma is fundamental in understanding the topology of the free topological group $F(X)$ on a Tychonoff space$X$. In this paper, an analogue of Joiner's lemma for the free paratopological group $\FP(X)$ on a $T_1$ space $
Elfard, Ali Sayed, Nickolas, Peter
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Some Notes on Fixed Point Theorems in ν-generalized Metric Spaces [PDF]
We study ν-generalized metric spaces. We first study the concept of Cauchy sequence. We next give a proof of the Banach contraction principle in ν-generalized metric spaces.
Alamri, Badriah +2 more
core +1 more source
Quantum Mechanics of the H+H2 Reaction: Exact Scattering Probabilities for Collinear Collisions [PDF]
The H + H2 reaction is very important in theoretical chemical dynamics (1-4). A model that is often used to study this reaction is to restrict the atoms to lie on a nonrotating line throughout the collision and to consider that the system is ...
Kuppermann, Aron, Truhlar, Donald G.
core +1 more source
ℐ-sn-metrizable spaces and the images of semi-metric spaces
The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng +3 more
doaj +1 more source

