Advanced Topics of Topology

Advanced Topics of Topology
Author: Francisco Bulnes
Publisher: BoD – Books on Demand
Total Pages: 138
Release: 2022-07-27
Genre: Mathematics
ISBN: 1803550937


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Topology is an area of mathematics that establishes relations and transformations between spaces with a certain structure depending on their position and considering the structure of the ambient space where these relations exist. This book discusses various concepts and theories of topology, including diffeomorphisms, immersions, Hausdorff spaces, cobordisms, homotopy theory, symplectic manifolds, topology of quantum field theory, algebraic varieties, dimension theory, Koszul complexes, continuum theory, and metrizability, among others.


Advanced Topics of Topology
Language: en
Pages: 138
Authors: Francisco Bulnes
Categories: Mathematics
Type: BOOK - Published: 2022-07-27 - Publisher: BoD – Books on Demand

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Topology is an area of mathematics that establishes relations and transformations between spaces with a certain structure depending on their position and consid
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Language: en
Pages: 167
Authors: Tai-Danae Bradley
Categories: Mathematics
Type: BOOK - Published: 2020-08-18 - Publisher: MIT Press

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A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach
A First Course in Topology
Language: en
Pages: 276
Authors: Robert A Conover
Categories: Mathematics
Type: BOOK - Published: 2014-05-21 - Publisher: Courier Corporation

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Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and w
Essentials of Topology with Applications
Language: en
Pages: 422
Authors: Steven G. Krantz
Categories: Mathematics
Type: BOOK - Published: 2009-07-28 - Publisher: CRC Press

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Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disci
Introduction to Topology
Language: en
Pages: 452
Authors: Tej Bahadur Singh
Categories: Mathematics
Type: BOOK - Published: 2019-05-17 - Publisher: Springer

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Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is