Algebraic Topology 5SHED29H9V

URI	`m2://res/5SHED29H9V`
Kind	course
Creators	G.K. Srinivasan (instructor)
Scope	in
Ids	course 02qyf5152:111101002

Expressions

e1: edition

Language	en

m1: page, IIT Bombay (record). nptel 111101002

Contents

part 1: Module 1: General Introduction
session 1: Lecture 1: Introduction
part 2: Module 2: General Topology
session 2: Lecture 2 : Preliminaries from general topology
session 3: Lecture 3 : More Preliminaries from general topology
session 4: Lecture 4 : Further preliminaries from general topology
session 5: Lecture 5 : Topological groups
session 6: Lecture 6 : Test - 1
part 3: Module 3: Fundamental groups and its basic properties
session 7: Lecture 7 : Paths, homotopies and the fundamental group
session 8: Lecture 8 : Categories and Functors
session 9: Lecture 9 : Functorial properties of the fundamental group
session 10: Lecture 10 : Brouwers theorem and its applications
session 11: Lecture 11 : Homotopies of maps. Deformation retracts
session 12: Lecture 12 & 13 : The fundamental group of the circle.
session 13: Lecture 14 : Test - II
part 4: Module 4:Theory Covering Spaces
session 14: Lecture 15 : Covering Projections
session 15: Lecture 16 : Lifting of paths and homotopies
session 16: Lecture 17 : Action of the fundamental group on the fibers
session 17: Lecture 18 : The lifting criterion
session 18: Lecture 19 : Deck transformations
session 19: Lecture 20 : Orbit Spaces
session 20: Lecture 21 : Test - III
part 5: Module 5:Seifert Van kampen Theorem & its application
session 21: Lecture 22 : Fundamental groups of certain orthogonal groups
session 22: Lecture 23 & 24 : Coproducts and push-outs
session 23: Lecture 25 : Adjunction Spaces
session 24: Lecture 26 : Seifert Van Kampen theorem
session 25: Lecture 27 : Test - IV
part 6: Module 6 :Basic Homology Theory
session 26: Lecture 28 : Introductory remarks on homology theory
session 27: Lecture 29 & 30 : The Singular chain complex and homology groups
session 28: Lecture 31 : The homology groups and their functoriality
session 29: Lecture 32 : The abelianization of the fundamental group
session 30: Lecture 33 : Homotopy invariance of homology
session 31: Lecture 34 : Small Simplicies
session 32: Lecture 35 : The Mayer Vietoris sequence and its applications
session 33: Lecture 36 : Maps of Spheres
session 34: Lecture 37 : Test - V
part 7: Module 7:Relative homology,exicism and the Jordan Brouwer separation therom
session 35: Lecture 38 : Relative homology
session 36: Lecture 39 : Excisim Theorem
session 37: Lecture 40 : Inductive limits
session 38: Lecture 41 : The Jordan-Brouwer separation theorem

Catalogue records

nptel: 111101002 (manifestation)