Search Results - "Domínguez, Xabier"
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Krein’s Theorem in the Context of Topological Abelian Groups
Published in Axioms (01-05-2022)“…A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is…”
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Permutations, Signs, and Sum Ranges
Published in Axioms (01-08-2023)“…The sum range SRx;X, for a sequence x=(xn)n∈N of elements of a topological vector space X, is defined as the set of all elements s∈X for which there exists a…”
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Advance in Topology and Functional Analysis in Honour of María Jesús Chasco’s 65th Birthday
Published in Axioms (01-04-2024)“…We are honoured to present this Special Issue of Axioms with the title “Topology and Functional Analysis” to showcase recent work on this and related topics…”
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On the existence of topologies compatible with a group duality with predetermined properties
Published in Topology and its applications (15-04-2022)“…The paper deals with group dualities. A group duality is simply a pair (G,H) where G is an abstract abelian group and H a subgroup of characters defined on G…”
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Locally minimal topological groups 2
Published in Journal of mathematical analysis and applications (15-08-2011)“…We continue in this paper the study of locally minimal groups started in Außenhofer et al. (2010) [4]. The minimality criterion for dense subgroups of compact…”
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Locally minimal topological groups 1
Published in Journal of mathematical analysis and applications (01-10-2010)“…The aim of this paper is to go deeper into the study of local minimality and its connection to some naturally related properties. A Hausdorff topological group…”
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Extending Topological Abelian Groups by the Unit Circle
Published in Abstract and Applied Analysis (01-01-2013)“…A twisted sum in the category of topological Abelian groups is a short exact sequence 0→Y→X→Z→0 where all maps are assumed to be continuous and open onto their…”
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8
On the existence of topologies compatible with a group duality with predetermined properties
Published 10-06-2021“…The paper deals with group dualities. A group duality is simply a pair $(G, H)$ where $G$ is an abstract abelian group and $H$ a subgroup of characters defined…”
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Metrizable TAP, HTAP and STAP groups
Published 08-09-2009“…In a recent paper by D. Shakhmatov and J. Sp\v{e}v\'ak [Group-valued continuous functions with the topology of pointwise convergence, Topology and its…”
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Extensions of topological Abelian groups and three-space problems
Published 20-05-2013“…A twisted sum in the category of topological abelian groups is a short exact sequence $0\to Y\to X \to Z\to 0$ where all maps are assumed to be continuous and…”
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Koebaluazioa: ikasleak tresna telematiko bitartez motibatuz
Published in Ikastorratza (01-07-2013)Get full text
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Locally Minimal Topological Groups 2
Published 28-06-2010“…We continue in this paper the study of locally minimal groups started in \cite{LocMin}. The minimality criterion for dense subgroups of compact groups is…”
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13
Locally minimal topological groups
Published 15-12-2009“…A Hausdorff topological group $(G,\tau)$ is called locally minimal if there exists a neighborhood $U$ of 0 in $\tau$ such that $U$ fails to be a neighborhood…”
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