Bornologies and bitopological function spaces | Zendy

Selma Özçağ | Zendy

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Bornologies and bitopological function spaces

Author(s) -

Selma Özçağ

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1307345o

Subject(s) - mathematics , closure (psychology) , metric space , topology (electrical circuits) , convergence (economics) , function (biology) , selection (genetic algorithm) , function space , metric (unit) , network topology , pure mathematics , discrete mathematics , combinatorics , computer science , operations management , evolutionary biology , artificial intelligence , economics , market economy , biology , economic growth , operating system

The aim of this paper is to study certain closure-type properties of function spaces over metric spaces endowed with two topologies: the topology of uniform convergence on a bornology and the topology of strong uniform convergence on a bornology. The study of function spaces with the strong uniform topology on a bornology was initiated by G. Beer and S. Levi in 2009, and then continued by several authors: A. Caserta, G. Di Maio and L'. Hola in 2010, A. Caserta, G. Di Maio, Lj.D.R. Kocinac in 2012. Properties that we consider in this paper are defined in terms of selection principles.

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