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A General Tychonoff Theorem for Multifunction

Published online by Cambridge University Press:  20 November 2018

Geoffrey Fox  and
Pedro Morales
Geoffrey Fox
Affiliation:
Université de Montréal, Montréal, Québec
Pedro Morales
Affiliation:
Université de Montréal, Montréal, Québec
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Let {Xa}a∈A be a non-empty family of compact spaces and let F be a subset of the m-product P{Xa:a∈A}. The Tychonoff problem is the determination of the sets F which are pointwise compact. It is known that P{Xa: a ∈ A} is pointwise compact [5, p. 400]. Also the set F of all point-closed multifunctions of P{Xa:a∈ A) is pointwise compact.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 519 - 521
Copyright
Copyright © Canadian Mathematical Society 1974

References

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