Hereditarily Normal Katětov Spaces and Extending of Usco Mappings
نویسندگان
چکیده
Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.
منابع مشابه
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1. Editor’s note 1 2. Research announcements 2 2.1. Lecce Workshop presentations available online 2 2.2. Borel cardinalities below c0 2 2.3. Hereditarily non-topologizable groups 2 2.4. A hodgepodge of sets of reals 2 2.5. Random gaps 3 2.6. Covering a bounded set of functions by an increasing chain of slaloms 3 2.7. Baire-one mappings contained in a usco map 3 2.8. Applications of k-covers II ...
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