Results 11 to 20 of about 39,057 (38)

On the infimum of a quasiconvex vector function over an intersection [PDF]

open access: yes, 2012
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]

open access: yes, 2015
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)

open access: yes, 2016
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

open access: yes, 2013
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

C*-Algebra Distance Filters

open access: yes, 2017
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
core   +2 more sources

Skeletally generated spaces and absolutes [PDF]

open access: yes, 2014
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

open access: yes, 2012
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
core   +1 more source

Some Notes on Fixed Point Theorems in ν-generalized Metric Spaces [PDF]

open access: yes, 2015
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]

open access: yes, 1970
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

open access: yesOpen Mathematics
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

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