Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Examples of quasitopological groups
Authors: Alexander V. Arhangel'skii, Mitrofan M. Choban
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Abstract
In this paper we construct several examples of completely regular submetrizable quasitopological groups with slightly different combinations of properties, in particular, a countable quasitopological group $G$ with countable $\pi $-weight, countable tightness, countable $\delta $-character, but not first-countable, and a countable quasitopological group $P$ with countable $\pi $-weight, countable tightness, but of uncountable $\delta $-character.Alexander V. Arhangel’skii
Moscow, Russian Federation
E-mail:
Mitrofan M. Choban
Department of Mathematics
Tiraspol State University
MD-2069, Chi?sin?au
Moldova
E-mail:
Moscow, Russian Federation
E-mail:
Mitrofan M. Choban
Department of Mathematics
Tiraspol State University
MD-2069, Chi?sin?au
Moldova
E-mail:
Fulltext
– 0.13 Mb
Contents
- Academician Mitrofan M. Choban founder of the moldavian scientific school in topology
- Liouville's theorem for vector-valued functions
- On the number of metrizable group topologies on countable groups
- Short signatures from the difficulty of factoring problem
- Selected Old Open Problems in General Topology
- Infinitely many maximal primitive positive clones in a diagonalizable algebra
- Functional compactifications of T0-spaces and bitopological structures
- On free groups in classes of groups with topologies
- On a four-dimensional hyperbolic manifold with finite volume
- On spaces of densely continuous forms
- A selection theorem for set-valued maps into normally supercompact spaces
- Minimal m-handle decomposition of three-dimensional handlebodies
- Examples of quasitopological groups
- Certain differential superordinations using a multiplier transformation and Ruscheweyh derivative
- The 20th Conference on Applied and Industrial Mathematics (CAIM-2012) dedicated to the 70th anniversary of Academician Mitrofan M. Choban
