Quasi-Uniformities and Quotients of Paratopological Groups
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Títol
Quasi-Uniformities and Quotients of Paratopological GroupsData de publicació
2017Editor
Faculty of Sciences and Mathematics, University of Nis, SerbiaCita bibliogràfica
SÁNCHEZ, Iván; SANCHIS LÓPEZ, Manuel. Quasi-Uniformities and Quotients of Paratopological Groups. Filomat (2017), v. 31, n. 6, p. 1721-1728Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/2644/1818Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
For a subgroup
H
of a paratopological group
G
we prove that the quotient topology of the coset
space
G
/
H
is induced by a rotund quasi-uniformity and the quotient topology of the semiregularization
(
G
... [+]
For a subgroup
H
of a paratopological group
G
we prove that the quotient topology of the coset
space
G
/
H
is induced by a rotund quasi-uniformity and the quotient topology of the semiregularization
(
G
/
H
)
sr
of
G
/
H
is induced by a normal quasi-uniformity. In particular, (
G
/
H
)
sr
is a Tychono
ff
space provided
that
G
/
H
is Hausdor
ff
. The previous results are applied in order to show that every Hausdor
ff
Lindel
̈
of
paratopological group is
ω
-admissible. We also show that, if
G
is an
ω
-admissible paratopological group,
then so are the reflections
T
i
(
G
) (i
=
0,1,2,3),
Re
1
(
G
) and
Tych
(
G
) [-]
Publicat a
Filomat (2017), v. 31, n. 6Proyecto de investigación
1) CONACyT of Mexico (Grant number 232464); 2) Spanish Ministry of Science and Education (Grant MTM2011-23118); 3) Universitat Jaume I, Spain (Grant P1-1B2014-35)Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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