Results 41 to 50 of about 289,513 (282)
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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GROUP LAWS AND FREE SUBGROUPS IN TOPOLOGICAL GROUPS [PDF]
We prove that a permutation group in which different finite sets have different stabilizers cannot satisfy any group law. For locally compact topological groups with this property we show that almost all finite subsets of the group generate free subgroups.
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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
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
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Free group automorphisms, invariant orderings and topological applications
We are concerned with orderable groups and particularly those with orderings invariant not only under multiplication, but also under a given automorphism or family of automorphisms.
Bert Wiest +10 more
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Free non-archimedean topological groups
We study free topological groups defined over uniform spaces in some subclasses of the class NA of non-archimedean groups. Our descriptions of the corresponding topologies show that for metrizable uniformities the corresponding free balanced, free abelian and free Boolean NA groups are also metrizable.
Megrelishvili, Michael +1 more
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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
Topological properties of spaces admitting free group actions
In 1992, David Wright proved a remarkable theorem about which contractible open manifolds are covering spaces. He showed that if a one-ended open manifold M has pro-monomorphic fundamental group at infinity which is not pro-trivial and is not stably Z ...
Geoghegan, Ross, Guilbault, Craig R.
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AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a closed subspace a homeomorphic copy of each finite power of the space.A major and immediate corollary of this theorem is: If P is a closed hereditary property of Tychonoff spaces, and if the free abelian topological group over a Tychonoff spaces has P, then ...
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The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source

