Some topological structures of extensions of abstract reachability problems
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Publication:2631292
DOI10.1134/S0081543816020048zbMath1344.93017MaRDI QIDQ2631292
A. G. Chentsov, Evgeny G. Pytkeev
Publication date: 29 July 2016
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
General systems (93A10) Attainable sets, reachability (93B03) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)
Related Items (7)
SOME REPRESENTATIONS CONNECTED WITH ULTRAFILTERS AND MAXIMAL LINKED SYSTEMS ⋮ On the supercompactness of ultrafilter space with the topology of Wallman type ⋮ Ultrafilters and maximal linked systems ⋮ Superextension as bitopological space ⋮ Bitopological spaces of ultrafilters and maximal linked systems ⋮ The Wallman compactifier and its application for investigation of the abstract attainability problem ⋮ Some properties of ultrafilters of widely understood measurable spaces
Cites Work
- On the structure of ultrafilters and properties related to convergence in topological spaces
- Ultrafilters of measurable spaces as generalized solutions in abstract attainability problems
- Finitely additive measures and extensions of abstract control problems
- On the construction of an asymptotic analog of a pencil of trajectories for a linear system with a single-impulse control
- Representation of attraction elements in abstract attainability problems with asymptotic constraints
- Attraction sets in abstract attainability problems: equivalent representations and basic properties
- On the question of representation of ultrafilters and their application in extension constructions
- Filters and ultrafilters in the constructions of attraction sets
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