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- W2150354357 abstract "The space C(X, Y) of continuous functions from a topological space X to a Hausdorff space Y can be thought of as a subset of the hyperspace of closed subsets of X × Y by identifying each element of C(X, Y) with its graph. A study is made of C(X, Y) with the topology inherited by the Fell topology on hyperspaces. The emphasis is on real-valued functions where Y=ℝ, in which case the function space is denoted by C(X). A number of characterizations are given of topological properties of C(X) and C(X, Y) in terms of properties on X (and Y). These properties often turn out to involve both local compactness and connectedness type of conditions." @default.
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- W2150354357 date "1992-09-01" @default.
- W2150354357 modified "2023-09-27" @default.
- W2150354357 title "The Fell Topology on C(X)" @default.
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- W2150354357 doi "https://doi.org/10.1111/j.1749-6632.1992.tb32253.x" @default.
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