000 01409 a2200217 4500
003 ISI Library, Kolkata
005 20240905174254.0
020 _a9781944660437
040 _aISI Library
_bEnglish
082 _223rd
_a514.2
_bM647
100 1 _aMiller, Haynes
_4auth.
245 1 0 _aLectures on algebraic topology/
_cHaynes Miller
260 _aSingapore:
_bWorld Scientific,
_c2023
300 _axi, 329 pages;
_bdiagrams;
_c23 cm.
504 _aIncludes bibliography, index
505 0 _aSingular 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
520 _aAlgebraic 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.
650 4 _aMathematics
650 4 _aAlgebra
_xTopology
942 _cBK
_2ddc
999 _c434354
_d434354