- E51
[0QJ]Prerequisites:[0KX], [0KZ].Show that the intersection of two balls is an open set (according to the definition [0NX]). Hence the family of all balls meets the requirements (a) and (b) in exercise [0KX]; so (as shown in [0KZ]), the family of balls is a base for the topology that it generates (which is the topology associated with metric space).
Solution 1
EDB — 0QJ
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Authors:
"Mennucci , Andrea C. G."
.
Bibliography
Book index
Book index
- base, (topology)
- accumulation point, in metric spaces
- topology, in metric spaces
- metric space
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