Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Selected Old Open Problems in General Topology
Authors: A. V. Arhangel'skii
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Abstract
We present a selection of old problems from different domains of General Topology. Formally, the number of problems is 20, but some of them are just versions of the same question, so the actual number of the problems is 15 or less. All of them are from 30 to 50 years old, and are known to have attracted attention of many topologists. A brief survey of these problems, including some basic references to articles and comments on their present status, are given.Moscow, Russian Federation
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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
