Virtual Topology and Functor Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Van Oystaeyen, Fred 作者

CRC Press

譯者

2007 出版日期

168 頁數

849.00 元價格

Pap

Lecture Notes in Pure and Applied Mathematics Series 叢書系列

9781420060560 圖書編碼

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發表於2024-11-11

Virtual Topology and Functor Geometry 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Virtual Topology and Functor Geometry 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Virtual Topology and Functor Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Virtual Topology and Functor Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Virtual Topology and Functor Geometry 在線電子書圖書描述

Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutative topology, Virtual Topology and Functor Geometry explores new aspects of these areas as well as more established facets of noncommutative algebra.

Presenting the material in an easy, colloquial style to facilitate understanding, the book begins with an introduction to category theory, followed by a chapter on noncommutative spaces. This chapter examines noncommutative lattices, noncommutative opens, sheaf theory, the generalized Stone space, and Grothendieck topology. The author then studies Grothendieck categorical representations to formulate an abstract notion of "affine open". The final chapter proposes a dynamical version of topology and sheaf theory, providing at least one solution of the problem of sheafification independent of generalizations of topos theory.

By presenting new ideas for the development of an intrinsically noncommutative geometry, this book fosters the further unification of different kinds of noncommutative geometry and the expression of observations that involve natural phenomena.

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