Algebraic Topology: A Primer (Texts and Readings in by PDF

ISBN-10: 8185931445

ISBN-13: 9788185931449

ISBN-10: 8185931682

ISBN-13: 9788185931685

this is often the second one (revised and enlarged) version of the booklet initially released in 2003. It introduces the 1st options of Algebraic Topology like normal simplicial complexes, simplicial homology concept, primary teams, protecting areas and singular homology concept intimately. The textual content has been designed for undergraduate and starting graduate scholars of arithmetic. It assumes a minimum historical past of linear algebra, crew thought and topological areas. the writer has handled the fundamental options and ideas in a really lucid demeanour giving compatible motivations and illustrations. As an program of the instruments built during this booklet, a few classical theorems like Brouwer's mounted element theorem, the Lefschetz fastened aspect theorem, the Borsuk-Ulam theorem, Brouwer's separation theorem and the concept on invariance of area were proved and illustrated. lots of the workouts are ordinary yet a few are more difficult and may support the readers of their knowing of the subject.

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Algebraic Topology: A Primer (Texts and Readings in Mathematics)

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