Results 51 to 60 of about 80,484 (161)
The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
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Topological gyrogroups: Generalization of topological groups
Topology and its Applications, 2017 The author studies topological left automorphic left Bol loops. In the terminology of \textit{A. A. Ungar} [Analytic hyperbolic geometry and Albert Einstein's special theory of relativity. Hackensack, NJ: World Scientific (2008; Zbl 1147.83004)] left automorphic left Bol loops are called gyrogroups.
openaire +1 more source
On topological groups of automorphisms
Applied General TopologyWe study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
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On topological groups of monotonic automorphisms
Applied General TopologyWe study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point ...
Raushan Buzyakova
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Abstract Lie groups and locally compact topological groups
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 We introduce a notion of abstract Lie group by means of the mapping which plays the role of the evolution operator. We show some basic properties of such groups very similar to the fundamentals of the infinite dimensional Lie theory.
Jacek Lech, Tomasz Rybicki
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Stochastic processes on totally disconnected topological groups
International Journal of Mathematics and Mathematical Sciences, 2003 Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces.
S. V. Ludkovsky
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Boundary Hamiltonian theory for gapped topological phases on an open surface
Journal of High Energy Physics, 2018 In this paper we propose a Hamiltonian approach to gapped topological phases on open surfaces. Our setting is an extension of the Levin-Wen model to a 2d graph on an open surface, whose boundary is part of the graph.
Yuting Hu +4 more
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On topological groups with remainder of character k
Applied General Topology, 2016 In [A.V. Arhangel'skii and J. van Mill, On topological groups with a first-countable remainder, Top. Proc. 42 (2013), 157-163] it is proved that the character of a non-locally compact topological group with a first countable remainder doesn't exceed ...
Maddalena Bonanzinga +1 more
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Pseudo-Normality and Pseudo-Tychonoffness of Topological Groups
MathematicsIt is common knowledge that any topological group that satisfies the lowest separation axiom, T0, is immediately Hausdorff and completely regular; however, this is not the case for normality.
Mesfer H. Alqahtani +3 more
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Some classes of minimally almost periodic topological groups
Applied General Topology, 2015 A Hausdorff topological group G=(G,T) has the small subgroup generating property (briefly: has the SSGP property, or is an SSGP group) if for each neighborhood U of $1_G$ there is a family $\sH$ of subgroups of $G$ such that $\bigcup\sH\subseteq U$ and $\
Wistar Comfort, Franklin R. Gould
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