Electronic Resource
Oxford, UK
:
Blackwell Publishing Ltd
Annals of the New York Academy of Sciences
659 (1992), S. 0
ISSN:
1749-6632
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Natural Sciences in General
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1749-6632.1992.tb32253.x
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