- -

The topological structure of (homogeneous) spaces and groups with countable cs∗-character

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

The topological structure of (homogeneous) spaces and groups with countable cs∗-character

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Banak, Taras es_ES
dc.contributor.author Zdomskyi, Lubomyr es_ES
dc.date.accessioned 2017-06-08T06:44:30Z
dc.date.available 2017-06-08T06:44:30Z
dc.date.issued 2004-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82544
dc.description.abstract [EN] In this paper we introduce and study three new cardinal topological invariants called the cs∗-, cs-, and sb-characters. The class of topological spaces with countable cs∗-character is closed under many topological operations and contains all N-spaces and all spaces with point-countable cs∗-network. Our principal result states that each non-metrizable sequential topological group with countable cs∗- character has countable pseudo-character and contains an open kω- subgroup. This result is specific for topological groups: under Martin Axiom there exists a sequential topologically homogeneous kω-space X with N0 = cs∗x ­(X) <ψ (X). es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject sb-network es_ES
dc.subject cs-network es_ES
dc.subject cs∗-network es_ES
dc.subject Sequential topological group es_ES
dc.subject kω-group es_ES
dc.subject Topologically homogeneous space es_ES
dc.subject Small cardinal es_ES
dc.subject Cardinal invariant es_ES
dc.title The topological structure of (homogeneous) spaces and groups with countable cs∗-character es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-08T06:28:51Z
dc.identifier.doi 10.4995/agt.2004.1993
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Banak, T.; Zdomskyi, L. (2004). The topological structure of (homogeneous) spaces and groups with countable cs∗-character. Applied General Topology. 5(1):25-48. https://doi.org/10.4995/agt.2004.1993 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2004.1993 es_ES
dc.description.upvformatpinicio 25 es_ES
dc.description.upvformatpfin 48 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 5
dc.description.issue 1
dc.identifier.eissn 1989-4147


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem