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This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses.
A wide range of material at different levels supports flexible use of the book for a variety of students.
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Topology: A Geometric Account of General Topology, Homotopy Types and the Fundamental Groupoid
Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.
The book is not a collection of topics, rather it early employs the language of point set topology to define and discuss topological groups.
The book expertly guides students of topology through the important transition from undergraduate student with a solid background in analysis or point-set topology to graduate student preparing to work on contemporary problems in ...
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra.
Comprehensive coverage of elementary general topology as well as algebraic topology, specifically 2-manifolds, covering spaces and fundamental groups. Problems, with selected solutions. Bibliography. 1975 edition.
This book starts with a discussion of the classical intermediate value theorem and some of its uncommon “topological” consequences as an appetizer to whet the interest of the reader.
EQUIVARIANT SURGERY AND APPLICATIONS ANTHONY BAK AND MASAHARU MORIMOTO Universität Bielefeld and Okayama University ABSTRACT. Strong vanishing theorems for (4k + 3)-dimensional (k > 0) equivariant surgery obstruction groups are proved ...
In the academic years 2004–2005 and 2005–2006, I taught a lecture course called 'Topology' for the Bachelor's degree in ... I decided it would be best to get straight to the point and state key results and definitions as early as ...
Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses.
A graduate-level textbook that presents basic topology from the perspective of category theory.
Great use is made of closure algebra. Comprised of three chapters, this volume begins with a discussion on general topological spaces as well as their specialized aspects, including regular, completely regular, and normal spaces.
This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which "capstone" best suits his ...
This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc.
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and...