Results 31 to 40 of about 291,341 (280)
Free products of topological groups and $M$-equivalence
In the paper we apply free products of topological groups for investigating the $M$-equivalence of Tychonoff spaces which are infinite disjoint sums of its subspaces. The main result is the following: Let $X=\overset{\infty}{\underset{i=1}{\oplus}}X_{i}$
N. M. Pyrch
doaj +1 more source
On the topological full group of a minimal Cantor Z^2-system
Grigorchuk and Medynets recently announced that the topological full group of a minimal Cantor Z-action is amenable. They asked whether the statement holds for all minimal Cantor actions of general amenable groups as well.
Elek, Gabor, Monod, Nicolas
core +1 more source
Automatic continuity for homomorphisms into free products
A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range.
Slutsky, Konstantin
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A Conjecture on the Hall Topology for the Free Group [PDF]
The Hall topology for the free group is the coarsest topology such that every group morphism from the free group onto a finite discrete group is continuous. It was shown by M. Hall Jr. that every finitely generated subgroup of the free group is closed for this topology.
Pin, Jean-Eric, Reutenauer, Christophe
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AbstractLet X be any Tychonoff space and βX the Stone—Čech compactification of X. Let F(βX) be the Graev free group of βX and let be the subspace topology on the Graev group F(X). Our results demonstrate that this topology is useful and behaves extremely well; the behavior of the free topology still remains enigmatic.There are various applications ...
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Potential therapeutic targeting of BKCa channels in glioblastoma treatment
This review summarizes current insights into the role of BKCa and mitoBKCa channels in glioblastoma biology, their potential classification as oncochannels, and the emerging pharmacological strategies targeting these channels, emphasizing the translational challenges in developing BKCa‐directed therapies for glioblastoma treatment.
Kamila Maliszewska‐Olejniczak +4 more
wiley +1 more source
Magnetic charges in supergravity
In this paper we study the dual charges of N $$ \mathcal{N} $$ = 1 supergravity in asymptotically flat space-time. The action considered is the usual supergravity action with a topological contribution.
Bilyana L. Tomova
doaj +1 more source
The fundamental group as a topological group
This paper is devoted to the study of a natural group topology on the fundamental group which remembers local properties of spaces forgotten by covering space theory and weak homotopy type.
Brazas, Jeremy
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Sequential Conditions and Free Topological Groups [PDF]
Most of the results in this paper concern relationships between sequential properties of a pointed topological space (X, p) and sequential properties of the Graev free topological group on X. In particular, it is shown that the free group over a sequential k ω {k_\omega } -space is sequential, and ...
Ordman, Edward T. +1 more
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Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source

