Skeletal maps and I-favorable spaces
Andrzej Kucharski Szymon Plewik
TL;DR
This paper establishes that the class of all compact Hausdorff and I-favorable spaces is suitable for the study of skeletal maps, highlighting their compatibility and significance in topology.
Contribution
It demonstrates that compact Hausdorff I-favorable spaces form an adequate class for skeletal maps, advancing understanding of their relationship in topology.
Findings
Compact Hausdorff I-favorable spaces are adequate for skeletal maps
The class of I-favorable spaces encompasses important topological properties
Skeletal maps are well-behaved within this class
Abstract
It is showed that the class of all compact Hausdorff and -favorable spaces is adequate for the class of skeletal maps.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory · Homotopy and Cohomology in Algebraic Topology