Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the number of metrizable group topologies on countable groups
Authors: Arnautov Vladimir, G. N. Ermakova
– 0.14 Mb
Abstract
If a countable group G admits a non-discrete metrizable group topology τ0, then in the group G, there are: - Continuum of non-discrete metrizable group topologies stronger than τ0, and any two of these topologies are incomparable; - Continuum of non-discrete metrizable group topologies stronger than τ0, and any two of these topologies are comparable.V. I. Arnautov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:
G. N. Ermacova
Transnistrian State University
25 October str. 128, Tiraspol, 278000
Moldova
E-mail:
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:
G. N. Ermacova
Transnistrian State University
25 October str. 128, Tiraspol, 278000
Moldova
E-mail:
Fulltext
– 0.14 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
