Results 51 to 60 of about 2,380,854 (358)
Finiteness properties of locally defined groups
Let X be a set and let S be an inverse semigroup of partial bijections of X ...
Farley, Daniel S., Hughes, Bruce
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Properties of locally semi-compact Ir-topological groups
Abstract This study investigates some topological properties of locally semi-compact Ir-topological groups and establishes the relationship between Ir-topological groups and semi-compact spaces. The proved theorems generalize the corresponding results of Ir-topological group.
Wang ZhongLi, Teh Wen Chean
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Completeness properties of locally quasi-convex groups
It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topological vector spaces, to Abelian topological groups. The adequate framework to do it seems to be the class of locally quasi-convex groups. However, in this paper we present examples of metrizable locally quasi-convex groups for which the analogue to the ...
Martin-Peinador, E. (E.) +3 more
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Summary: The auditory system relies on local and global representations to discriminate sounds. This study investigated whether vision influences the development and functioning of these fundamental sound computations.
Martina Berto +3 more
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Superclusters of galaxies in the 2dF redshift survey. III. The properties of galaxies in superclusters [PDF]
We use catalogues of superclusters of galaxies from the 2dF Galaxy Redshift Survey to study the properties of galaxies in superclusters. We compare the properties of galaxies in high and low density regions of rich superclusters, in poor superclusters ...
Abell +82 more
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On the Dynamical Behavior of Cellular Automata on Finite Groups
During the last few decades, significant efforts have been devoted to analyze the dynamical behavior of cellular automata (CAs) on cyclic groups, their Cartesian power (referred to as linear cellular automata), and on general abelian groups (referred to ...
Alberto Dennunzio +2 more
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On almost finitely generated nilpotent groups
A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
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Topological groups: local versus global
It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients.
A.V. Arhangelskii, Vladimir V. Uspenskij
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Characteristics for E∞ ring spectra [PDF]
We introduce a notion of characteristic for connective p-local E∞ ring spectra and study some basic properties. Apart from examples already pointed out by Markus Szymik, we investigate some examples built from Hopf invariant 1 elements in the stable ...
Baker, Andrew
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Some properties of locally compact groups [PDF]
In this paper a number of questions about locally compact groups are studied. The structure of finite dimensional connected locally compact groups is investigated, and a fairly simple representation of such groups is obtained. Using this it is proved that finite dimensional arcwise connected locally compact groups are Lie groups, and that in general ...
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