TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM OF CHOICE | Zendy

Schechter Eric | Zendy; Schechter E. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

TWO TOPOLOGICAL EQUIVALENTS OF THE AXIOM OF CHOICE

Author(s) -

Schechter Eric,

Schechter E.

Publication year - 1992

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.19920380152

Subject(s) - mathematics , axiom of choice , axiom , product (mathematics) , closure (psychology) , topological space , constructive set theory , product topology , topology (electrical circuits) , separation axiom , axiom independence , urelement , zermelo–fraenkel set theory , discrete mathematics , combinatorics , computer science , set (abstract data type) , geometry , set theory , economics , market economy , programming language

We show that the Axiom of Choice is equivalent to each of the following statements: (i) A product of closures of subsets of topological spaces is equal to the closure of their product (in the product topology); (ii) A product of complete uniform spaces is complete.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research