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Lectures on algebraic topology [electronic resource] / Haynes Miller.

By: Miller, Haynes R, 1948-.
Material type: materialTypeLabelBookPublisher: Singapore : World Scientific, 2021Description: 1 online resource (404 p.).ISBN: 9789811231254; 9811231257.Subject(s): Algebraic topologyGenre/Form: Electronic books.DDC classification: 514/.2 Online resources: Access to full text is restricted to subscribers.
Contents:
Singular homology -- Computational methods -- Cohomology and duality -- Basic homotopy theory -- The homotopy theory of CW complexes -- Vector bundles and principal bundles -- Spectral sequences and Serre classes -- Characteristic classes, Steenrod operations, and cobordism.
Summary: "Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory"-- Publisher's website.
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Includes bibliographical references and index.

Singular homology -- Computational methods -- Cohomology and duality -- Basic homotopy theory -- The homotopy theory of CW complexes -- Vector bundles and principal bundles -- Spectral sequences and Serre classes -- Characteristic classes, Steenrod operations, and cobordism.

"Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory"-- Publisher's website.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

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