Miller, Haynes R., 1948-
Lectures on algebraic topology [electronic resource] / Haynes Miller. - Singapore : World Scientific, 2021. - 1 online resource (404 p.)
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"--
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
9789811231254 9811231257
2021038221
Algebraic topology.
Electronic books.
QA612 / .M5215 2021
514/.2
Lectures on algebraic topology [electronic resource] / Haynes Miller. - Singapore : World Scientific, 2021. - 1 online resource (404 p.)
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"--
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
9789811231254 9811231257
2021038221
Algebraic topology.
Electronic books.
QA612 / .M5215 2021
514/.2