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Baire spaces and hyperspaces

Pacific Journal of Mathematics · 1975 · 59 citations · 38 references

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Abstract

This paper examines the question as to when the hyperspace of a Baire space is a Baire space, and related questions. An answer is given in terms of a certain product space's being a Baire space.

References

38

Topologies on spaces of subsets

Ernest Michael · Transactions of the American Mathematical Society · 1951 · 995 citations · Full text

Such Collections, Topological Property, Set-theoretic Topology +1

Topologies on Spaces of Subsets

Ernest Michael · Transactions of the American Mathematical Society · 1951 · 292 citations

Such Collections, Topological Property, Set-theoretic Topology +1

The single valued extension property on a Banach space

J.A. Finch · Pacific Journal of Mathematics · 1975 · 239 citations · Full text

Cartesian products of Baire spaces

John C. Oxtoby · Fundamenta Mathematicae · 1961 · 179 citations · Full text

Topological Property, Baire Spaces, Set-theoretic Topology

Orthogonally additive and orthogonally increasing functions on vector spaces

Stanley Gudder, D. Strawther · Pacific Journal of Mathematics · 1975 · 141 citations · Full text