Results 11 to 20 of about 1,837,600 (347)
LOCALLY COMPACT WREATH PRODUCTS [PDF]
Journal of the Australian Mathematical Society, 2017 Wreath products of nondiscrete locally compact groups are usually not locally compact groups, nor even topological groups. As a substitute introduce a natural extension of the wreath product construction to the setting of locally compact groups. Applying
Yves Cornulier
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Approximating Simple Locally Compact Groups by Their Dense Locally Compact Subgroups [PDF]
International Mathematics Research Notices, 2017 The class $\mathscr{S}$ of totally disconnected locally compact (tdlc) groups that are non-discrete, compactly generated, and topologically simple contains many compelling examples.
P. Caprace +2 more
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Locally compact, $\omega_1$-compact spaces
, 2017 An $\omega_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $\omega_1$-compact space is $\sigma$-countably compact, i.e., the union of countably many ...
Nyikos, Peter, Zdomskyy, Lyubomyr
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Proceedings of the National Academy of Sciences, 1935 As a generalization of theorems of L. Pontryagin, E. R. van Kampen and D. van Dantzig, the authors prove the following theorems: Theorem I: A locally compact and separable (not necessarily associative or commutative) field \(F\) is either a hypercomplex system over the real field or is totally disconnected. Theorem III: A locally compact, separable and
Jacobson, Nathan, Taussky, O.
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Computably Based Locally Compact Spaces [PDF]
Logical Methods in Computer Science, 2006 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.
Paul Taylor
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Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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Lattice of Idempotent States on a Locally Compact Quantum Group [PDF]
Publications of the Research Institute for Mathematical Sciences, 2018 We study lattice operations on the set of idempotent states on a locally compact quantum group corresponding to the operations of intersection of compact subgroups and forming the subgroup generated by two compact subgroups.
P. Kasprzak, P. Sołtan
semanticscholar +1 more source
Locally compact space and continuity
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 +1 more
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Locally compact quantum groups [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2000 Summary: We propose a simple definition of a locally compact quantum group in reduced form. By the word `reduced' we mean that we suppose the Haar weight to be faithful. So in fact we define and study an arbitrary locally compact quantum group, represented on the \(L^2\)-space of its Haar weight.
Kustermans, Johan, Vaes, Stefaan
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A dichotomy property for locally compact groups [PDF]
, 2018 We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which was defined by ...
Ferrer, Marita +2 more
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