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Geometry and Topology Down Under
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Authors: Craig D. Hodgson
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Type: BOOK - Published: 2013-08-23 - Publisher: American Mathematical Soc.

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This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia
From Groups to Geometry and Back
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Pages: 442
Authors: Vaughn Climenhaga
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Type: BOOK - Published: 2017-04-07 - Publisher: American Mathematical Soc.

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Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract gro
Winding Around
Language: en
Pages: 287
Authors: John Roe
Categories: Mathematics
Type: BOOK - Published: 2015-09-03 - Publisher: American Mathematical Soc.

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The winding number is one of the most basic invariants in topology. It measures the number of times a moving point P goes around a fixed point Q, provided that
Comparison Theorems in Riemannian Geometry
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Authors: Jeff Cheeger
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Comparison Theorems in Riemannian Geometry
Free Loop Spaces in Geometry and Topology
Language: en
Pages: 504
Authors: Mohammed Abouzaid
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In the late 1990s, two initially unrelated developments brought free loop spaces into renewed focus. In 1999, Chas and Sullivan introduced a wealth of new algeb