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Fundamentals of Algebraic Topology

Steven H. Weintraub - Mathematics - 2014 - 163 pages
This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach ...
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Algebraic Topology: VIASM 2012–2015

H.V. Hưng Nguyễn, Lionel Schwartz - Mathematics - 2018 - 180 pages
Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of ...
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Basic Algebraic Topology and its Applications

Mahima Ranjan Adhikari - Mathematics - 2016 - 615 pages
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it ...
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History of Topology

I.M. James - Mathematics - 1999 - 1067 pages
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred ...
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Rational Homotopy Theory and Differential Forms

Phillip Griffiths, John Morgan - Mathematics - 2013 - 227 pages
This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing ...
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Topology and Geometric Group Theory: Ohio State University, Columbus, USA ...

Michael W. Davis, James Fowler, Jean-François Lafont, Ian J. Leary - Mathematics - 2016 - 174 pages
This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long ...
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Geometric and Cohomological Group Theory

Peter H. Kropholler, Ian J. Leary, Conchita Martínez-Pérez, Brita E. A. Nucinkis - Mathematics - 2017
This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research ...
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Quandles and Topological Pairs: Symmetry, Knots, and Cohomology

Takefumi Nosaka - Mathematics - 2017 - 136 pages
This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics ...
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Group Cohomology and Algebraic Cycles

Burt Totaro - Mathematics - 2014
Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic ...
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Simplicial Structures in Topology

Davide L. Ferrario, Renzo A. Piccinini - Mathematics - 2010 - 254 pages
Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies ...
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