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On topological properties of Fréchet locally convex spaces

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On topological properties of Fréchet locally convex spaces

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Gabriyelyan, S.; Kakol, JM.; Kubzdela, A.; López Pellicer, M. (2015). On topological properties of Fréchet locally convex spaces. Topology and its Applications. 192(1):123-137. https://doi.org/10.1016/j.topol.2015.05.075

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Title: On topological properties of Fréchet locally convex spaces
Author: Gabriyelyan, S.S Kakol, Jerzy Marian Kubzdela, Albert López Pellicer, Manuel
UPV Unit: Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural
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Abstract:
[EN] We describe the topology of any cosmic space and any N-o-space in terms of special bases defined by partially ordered sets. Using this description we show that a Baire cosmic group is metrizable. Next, we study those ...[+]
Subjects: 0-space k-network , Weak topology , Locally convex Fréchet space , 0-space k-network Banach space , Banach space
Copyrigths: Reserva de todos los derechos
Source:
Topology and its Applications. (issn: 0166-8641 ) (eissn: 1879-3207 )
DOI: 10.1016/j.topol.2015.05.075
Publisher:
Elsevier
Publisher version: https://dx.doi.org/10.1016/j.topol.2015.05.075
Conference name: Brazilian Conference on General Topology and Set Theory (STW-2013)
Conference place: Sao Sebastiao, BRAZIL
Conference date: AUG 12-16, 2013
Project ID:
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2013%2F058/
Thanks:
The second and fourth named authors were supported by Generalitat Valenciana, Conselleria d'Educacio, Cultura i Esport, Spain, Grant PROMETEO/2013/058.
Type: Artículo Comunicación en congreso

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