Results 31 to 40 of about 311,511 (286)

Slice Theorem For Differential Spaces And Reduction By Stages

open access: yesDemonstratio Mathematica, 2014
We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology.
Lusala Tsasa, Śniatycki Jędrzej
doaj   +1 more source

On generalization of homotopy axiom

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
doaj   +1 more source

On locally compact semitopological O-bisimple inverse ω-semigroups

open access: yesTopological Algebra and its Applications, 2018
We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
doaj   +1 more source

Krein’s Theorem in the Context of Topological Abelian Groups

open access: yesAxioms, 2022
A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact.
Tayomara Borsich   +2 more
doaj   +1 more source

Spaceability in Banach Spaces Related to Locally Compact Groups

open access: yesپژوهش‌های ریاضی, 2021
In this paper, for a locally compact group  and a fixed number , we give some sufficient conditions for the set  to be spaceable in . Also, by some special Segal algebras which recently have been introduced, we find spaceable subsets of the Fourier ...
Seyyed Mohammad Tabatabaei   +1 more
doaj  

Connecting Locally Compact Abelian Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1983
Those locally compact abelian groups having connected envelopes are characterized as those G G such that the dimension of Hom ( G , R ) {\operatorname {Hom }}(G,R) over R R is finite (where R R is the field of real numbers).
Enochs, Ed, Gerlach, Walt
openaire   +1 more source

The Bridge Theorem for totally disconnected LCA groups [PDF]

open access: yes, 2013
For a totally disconnected locally compact abelian group, we prove that the topological entropy of a continuous endomorphism coincides with the algebraic entropy of the dual endomorphism with respect to the Pontryagin duality.
Bruno, Anna Giordano, Dikranjan, Dikran
core   +2 more sources

Locally compact topologies for groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1967
The investigations leading to this paper were suggested by the papers of Hewitt [3] and Ross [5]. In [3] Hewitt was interested in proving that if an abelian group is locally compact in two topologies, one strictly stronger than the other, there is a character continuous in one topology and discontinuous in the other (actually a special case of a ...
openaire   +2 more sources

On the homomorphisms of locally compact groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
In this paper, we establish a conjugacy theorem of homomorphisms of a locally compact connected semisimple group into a locally compact group.
openaire   +2 more sources

Commutative Topological Semigroups Embedded into Topological Abelian Groups

open access: yesAxioms, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj   +1 more source

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