Algoritmus
A characterization of realcompactness in terms of the topology of pointwise convergence on the function space
К теореме Балцара-Франека об отображениях экстремально несвязных бикомпактов на канторов дисконтинуум
The Mal'tsev operation on countably compact spaces
Pseudocompact spaces with a -point-finite base are metrizable
On the group of isometries of the Urysohn universal metric space
A large -discrete Fréchet space having the Souslin property
On the Suslin number of subgroups of products of countable groups
On the cardinality of Lindelöf subspaces of function spaces
In quest of weaker connected topologies
We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology is rather...
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