Results 41 to 50 of about 212 (106)
Fine topology on function spaces
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 417-424, 1986., 1986 This paper studies the topological properties of two kinds of “fine topologies” on the space C(X, Y) of all continuous functions from X into Y.
R. A. McCoy
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Pseudocompact group topologies and totally dense subgroups [PDF]
Pacific Journal of Mathematics, 1982 Throughout this synopsis all topologies are Hausdorff topological group topologies, and pseudocompact, then not every ^'-closed subgroup of G is ^"-closed. If w{Gy^r')>ω with totally disconnected Abelian, then there is pseudocompact J^'gJ^. Not every infinite has a proper, totally dense subgroup.
Comfort, W. W., Soundararajan, T.
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Pseudocompact totally dense subgroups [PDF]
, 2008 It was shown by Dikranjan and Shakhmatov in 1992 that if a compact abelian group K admits a proper totally dense pseudocompact subgroup, then K cannot have a torsion closed G_delta-subgroup; moreover this condition was shown to be also sufficient under ...
DIKRANJAN, Dikran, GIORDANO BRUNO, Anna
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Infinitely generated pseudocompact modules for finite groups and Weiss' Theorem [PDF]
, 2020 One of the most beautiful results in the integral representation theory of finite groups is a theorem of A. Weiss that detects a permutation R-lattice for the finite p-group G in terms of the restriction to a normal subgroup N and the N-fixed points of ...
Zalesskii, Pavel A. +2 more
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Topologies between compact and uniform convergence on function spaces
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 101-109, 1993.
S. Kundu, R. A. McCoy
wiley +1 more source
Dense minimal pseudocompact subgroups of compact abelian groups [PDF]
, 2008 Motivated by a recent theorem of Comfort and van Mill, we study when a pseudocompact Abelian group admits proper dense minimal pseudocompact subgroups and give a complete answer in the case of compact Abelian groups.
GIORDANO BRUNO, Anna
core +1 more source
Proper pseudocompact extensions of compact abelian group topologies
, 1982 A compact Abelian group G G admits a strictly finer pseudocompact topological group topology if and only if the weight of G G is uncountable.
W. W. Comfort, Lewis C. Robertson
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Abelian groups admitting a Fréchet–Urysohn pseudocompact topological group topology
, 2010 We show that every Abelian group G with r0(G)=|G|=|G|ω admits a pseudocompact Hausdorff topological group topology T such that the space (G,T) is Fréchet–Urysohn.
Tkachenko, Mikhail
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Finite powers of selectively pseudocompact groups [PDF]
Topology and its Applications, 2018 A space $X$ is called {\it selectively pseudocompact} if for each sequence $(U_{n})_{n\in \mathbb{N}}$ of pairwise disjoint nonempty open subsets of $X$ there is a sequence $(x_{n})_{n\in \mathbb{N}}$ of points in $X$ such that $cl_X(\{x_n : n < ω\}) \setminus \big(\bigcup_{n < ω}U_n \big) \neq \emptyset$ and $x_{n}\in U_{n}$, for each $n < ω$.
Garcia-Ferreira, S., Tomita, A. H.
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The Transversality on locally pseudocompact groups
, 2019 9
Lin, Fucai, Tang, Zhongbao
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