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On ∂-partial-locally compact space [PDF]

Mathematics and Computational Sciences, 2023
The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
doaj   +4 more sources

Locally compact space and continuity [PDF]

Bibechana, 2010
Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary, Raju Ram Thapa   +1 more
doaj   +7 more sources

When is an ultracomplete space almost locally compact? [PDF]

Applied General Topology, 2006
We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having all points of non-local compactness ...
Daniel Jardón Arcos, Vladimir V. Tkachuk   +1 more
doaj   +2 more sources

Compact sheaves on a locally compact space [PDF]

Proceedings of the American Mathematical Society
Let X be a hypercomplete locally compact Hausdorff space and let C be a compactly generated stable ∞-category. We describe the compact objects in the ∞-category of C-valued sheaves Shv(X, C).
Harr, Oscar Bendix
core   +4 more sources

Quantum stochastic convolution cocycles III [PDF]

, 2012
The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G., Lindsay, J. Martin
core   +5 more sources

Conditions implying the uniqueness of the weak*-topology on certain group algebras [PDF]

, 2009
We investigate possible preduals of the measure algebra M(G) of a locally compact group and the Fourier algebra A(G) of a separable compact group. Both of these algebras are canonically dual spaces and the canonical preduals make the multiplication ...
Daws, M., White, S., lePham, H.
core   +8 more sources

Pairwise Locally Compact Space and Pairwise Locally Lindelőf Space

, 2021
In this paper we define pairwise locally compact space and pairwise locally lindelöf space and study their properties and their relations with other bitopological spaces.
Nabeela I. Abualkishik, Hasan Z. Hdeib
core   +2 more sources

Convolution semigroups of states. [PDF]

, 2011
Convolution semigroups of states on a quantum group form the natural noncommutative analogue of convolution semigroups of probability measures on a locally compact group.
Lindsay, Martin, Skalski, Adam G.
core   +4 more sources

Ways of obtaining topological measures on locally compact spaces [PDF]

Известия Иркутского государственного университета: Серия "Математика", 2018
Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
doaj   +1 more source

Quantum stochastic convolution cocycles II [PDF]

, 2008
Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
core   +4 more sources