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Distance and Topology: Back to the Roots of Topology with a General Concept of Distance

Jobst Heitzig




[PDF.gc99] Distance and Topology: Back to the Roots of Topology with a General Concept of Distance

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 |  2012-08-07 |  2012-08-07 | Original language:English | PDF # 1 |  8.66 x.37 x5.91l,.55 | File type: PDF | 164 pages

||About the Author|The author was born 1972 in Hannover, Germany, where he studied physics and mathematics. He received a PhD in mathematics for his work on distance functions and has also worked on privacy in statistical databases. He lives in Frankfurt am Main.

Revision with unchanged content. The aim of this book is threefold: to reinstate distance functions as a principal tool of general topology, to promote the use of distance functions on various mathematical objects and a thinking in terms of distances also in non-topological contexts, and to make more specific contributions to distance theory. We start by learning the basic properties of distance, endowing all kinds of mathematical objects with a distance function, and s...

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