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Prefibers and the cartesian product of metric spaces

โœ Scribed by Claude Tardif

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
501 KB
Volume
109
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis

The properties of certain sets called prefibers in a metric space are used to show that the algebraic properties of the Cartesian product of graphs generalize to metric spaces.

Definition 1.1. (i) Let X = lJEIXi, for i E I, pri denotes the projection on Xi; for x E X, the i-fiber of X through x is the set

X(i, X) = {y E 5 Xi: prj(Y) = prj(X)

for all i E l{i}}.

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