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A fixed point theorem equivalent to the axiom of choice

✍ Scribed by Abian, Alexander


Publisher
Springer-Verlag
Year
1985
Weight
53 KB
Volume
25
Category
Article
ISSN
0003-9268

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πŸ“œ SIMILAR VOLUMES


A converse to a fixed point theorem of B
✍ T.F. McCabe πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science βš– 295 KB

In this note it is shown thai if X is a compact metric space and f is a co11 tinuo~.~s selfmap of X, then each pair of points is proximxi under f if anti only if there is a fixle d poisrt 11 such that tt E L(x) for each x E .X.