1. The convergence space of minimal usco mappings
- Creator:
- Anguelov, R. and Kalenda, O. F. K.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- minimal usco map, convergence space, complete uniform convergence space, pointwise convergence, and order convergence
- Language:
- English
- Description:
- A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all continuous functions is also addressed.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public