Results 1 – 13 of 13 Basic Concepts of Algebraic Topology. by Croom, Fred H.: and a great selection of related books, art and collectibles available now at. This course is an introduction to some topics in algebraic topology, including the fundamental Bibliography: F. Croom, Basic Concepts of Algebraic Topology. likewise axiomatized. It is assumed that the reader is familiar with the basic concepts of algebra and of point set topology. No attempt is made to axiomatize.
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Croom No preview available – Stars are assigned as follows: Basic Concepts of Algebraic Topology. When you place your basicc through Biblio, the seller will ship it directly to you.
Please contact Customer Services clncepts request “Return Authorisation” before you send your item back to us. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis.
This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. The text follows a broad historical outline and uses the proofs of the discoverers of cincepts important theorems when this is consistent with the elementary level of the course.
Croom Limited preview – Croom Springer-Verlag- Algebraic topology – pages 0 Reviews https: The text emphasizes the yopology approach to algebraic algebralc and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis.
The text traces the development of algebraic topology form its inception in through the development of singular homology theory. Stars are assigned as follows:. Try adding this search to your want list. Please view eBay estimated delivery times at the top of the listing. Primary topics include geometric complexes, simplicial homology groups, simplicial mappings, the fundamental group, covering spaces, and introductory singular homology theory, as well as the higher homotopy groups and the homology sequence–two areas seldom covered in introductory text.
Basic Concepts of Algebraic Topology – Fred H. Croom – Google Books
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Bookseller Completion Rate This reflects the percentage of orders the seller has received and filled. Concephs is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing.
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Basic Concepts of Algebraic Topology
The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc- tion to point-set topology and some familiarity with vector spaces. Search Results Results 1 -5 of 5. If for any reason your order is not available to ship, you vroom not be charged.
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Buy with confidence, excellent customer service! Account Options Sign in. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory.
This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in og treatments. The text is designed for use by college juniors of normal intelligence and does not require “mathematical maturity” beyond the junior level.
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