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On free groups in classes of groups with topologies
Authors: Mitrofan M. Choban, Liubomir L. Chiriac
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Abstract
We study properties of free groups in distinct classes of groups with topologies. The conditions under which the quasi-metric on the space of generators X is extended to an invariant quasi-metric on a free group F(X, V) in the fixed quasi-variety V of groups with topologies are given. This result is applied to the study: - of free paratopological groups; - of free quasitopological groups; - of free semitopological groups; - of free left topological groups.Department of Mathematics
Tiraspol State University
MD-2069, Chisinau
Moldova
E-mail:
Tiraspol State University
MD-2069, Chisinau
Moldova
E-mail:
Fulltext
– 0.22 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
