On subgroups of saturated or totally bounded paratopological groups

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/75

Full metadata record

DC Field	Value	Language
dc.contributor.author	Banakh, Taras	-
dc.contributor.author	Ravsky, Sasha	-
dc.date.accessioned	2015-10-21T10:26:12Z	-
dc.date.available	2015-10-21T10:26:12Z	-
dc.date.issued	2003	-
dc.identifier.uri	http://hdl.handle.net/123456789/75	-
dc.description	A paratopological group G is saturated if the in- verse U−1 of each non-empty set U ½ G has non-empty interior. It is shown that a [first-countable] paratopological group H is a closed subgroup of a saturated (totally bounded) [abelian] paratopological group if and only if H admits a continuous bijective homomorphism onto a (totally bounded) [abelian] topological group G [such that for each neighborhood U ½ H of the unit e there is a closed subset F ½ G with e 2 h−1(F) ½ U]. As an application we construct a paratopological group whose character exceeds its ¼-weight as well as the character of its group reflexion. Also we present several ex- amples of (para)topological groups which are subgroups of totally bounded paratopological groups but fail to be subgroups of regular totally bounded paratopological groups.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Луганский национальный университет им. Т. Шевченко	uk_UA
dc.title	On subgroups of saturated or totally bounded paratopological groups	uk_UA
dc.type	Article	uk_UA
Appears in Collections:	Статті

Files in This Item:

File	Description	Size	Format
adm-n4-1.pdf		249.1 kB	Adobe PDF	View/Open

DSpace JSPUI