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Basic Concepts of Algebraic Topology (Undergraduate Texts in Mathematics) by FRED H.CROOM, Fred H. Croom is a book available to read on EtoBox.
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\"The text traces the development of algebraic topology form its inception in 1895 through the development of singular homology theory. 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. The author develops many important applications, including the fixed point theorems of Brouwer and Lefschetz, vector fields on spheres, and the covering homotopy property\"-- Back cover This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. 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. This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of gro
- Author
- FRED H.CROOM, Fred H. Croom
- Publisher
- Springer-Verlag; Springer
- Published
- 1978
- Language
- EN
- ISBN
- 9781468494754
- Subjects
- Science, Mathematics, History
- Rating
- 4.67 / 5 (3 ratings)
- Updated
- 2026-03-14
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