What balls? It’s a joke? What balls? It’s a joke?

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Presentation transcript:

What balls? It’s a joke? What balls? It’s a joke?

 Euclidean space

 Distance

 Euclidean space  Distance  Metric space

 Euclidean space  Distance  Metric space  Ball

M. R. Frechet

 „Introduction to metric spaces” in „ Metric and Topological Spaces” Dr J. F. FeinsteinJanuary 4, 2005  „Metric Spaces” in ” Introduction To Mathematical Analysis” John E. Hutchinson 1994 Revised by Richard J. Loy 1995/6/7 Department of Mathematics School of Mathematical Sciences ANU  „Metryki i topologie”, presentation Weroniki Siwek  ( December 2012)  (December 2012)