Introduction to Algebraic Topology (Part-II) N18APBBP78

URI	`m2://res/N18APBBP78`
Kind	course
Creators	Anant R. Shastri (instructor)
Date	2021-07-09
Scope	in
Ids	course 02qyf5152:111101152

Expressions

e1: edition

Language	en
Date	2021-07-09

m1: page, IIT Bombay (record). nptel 111101152
m2: page, 2021-07-09 (record). nptel 111101152

Contents

part 1: week-01
session 1: Week 1-Lecture 1 : Introduction
session 2: Week 1-Lecture 2 : Attaching cells
session 3: Week 1-Lecture 3 : Subcomplexes and Examples
session 4: Week 1-Lecture 4A : More examples
session 5: Week 1-Lecture 4B : More Examples
session 6: Weeek 1-Lecture 5 : Topological Properties
part 2: week-02
session 7: Week 2-Lecture 6 : Coinduced Topology
session 8: Week 2-Lecture 7 : Compactly generated topology on Products
session 9: Week 2-Lecture 8 : Product of Cell complexes
session 10: Week 2-Lecture 9 : Product of Cell complexes-Continued
session 11: Week 2-Lecture 10 : Partition of Unity on CW-complexes
part 3: week-03
session 12: Week 3-Lecture 11 : Partition of Unity-Continued
session 13: Week 3-Lecture 12 : Homotopical Aspects
session 14: Week 3-Lecture 13 : Homotopical Aspects-Continued
session 15: Week 3-Lecture 14 : Cellular Maps
session 16: Week 3-Lecture 15 : Cellular Maps-Continued
part 4: week-04
session 17: Week 4-Lecture 16A : Homotopy exact sequence of a pair
session 18: Week 4-Lecture 16B : Homotopy exact sequence of a fibration
session 19: Week 4-Lecture 17 : Categories-Definitions and Examples
session 20: Week 4-Lecture 18 : More Examples
session 21: Week 4-Lecture 19 : Functors
session 22: Week 4-Lecture 20 : Equivalence of Functors-Continued
part 5: week-05
session 23: Week 5-Lecture 21 : Universal Objects
session 24: Week 5-Lecture 22 : Basic Homological Algebra
session 25: Week 5-Lecture 23 : Diagram-Chasing
session 26: Week 5-Lecture 24 : Homology of Chain Complexes
session 27: Week 5-Lecture 25 : Euler Characteristics
part 6: week-06
session 28: Week 6-Lecture 26 : Singular Homology Groups
session 29: Week 6-Lecture 27 : Basic Properties of Singular Homology
session 30: Week 6-Lecture 28 : Excision
session 31: Week 6-Lecture 29 : Examples of Excision-Mayer Vietoris
session 32: Week 6-Lecture 30 : Applications
part 7: week-07
session 33: Week 7-Lecture 31 : Applications-Continued
session 34: Week 7-Lecture 32 : The Singular Simplicial Homology
session 35: Week 7-Lecture 33 : Simplicial Homology
session 36: Week 7-Lecture 34 : Simplicial Homology-Continued
session 37: Week 7-Lecture 35 : CW-Homology and Cellular Singular Homology
part 8: week-08
session 38: Week 8-Lecture 36 : Construction of CW-chain complex
session 39: Week 8-Lecture 37 : CW structure and CW homology of Lens Spaces
session 40: Week 8-Lecture 38 : Assorted Topics
session 41: Week 8-Lecture 39 : Some Applications of Homology
session 42: Week 8-Lecture 40 : Applications of LFT
part 9: week-09
session 43: Week 9-Lecture 41 : Jordan-Brouwer
session 44: Week 9-Lecture 42 : Proof of Lemmas
session 45: Week 9-Lecture 43 : Relation between ?1 and H1
session 46: Week 9-Lecture 44 : All Postponed Proofs
session 47: Week 9-Lecture 45 : Proofs-Continued
part 10: week-10
session 48: Week 10-Lecture 46 : Definitions and Examples
session 49: Week 10-Lecture 47 : Paracompactness
session 50: Week 10-Lecture 48 : Manifolds with Boundary
session 51: Week 10-Lecture 49 : Embeddings and Homotopical Aspects
session 52: Week 10-Lecture 50 : Homotopical Aspects continued
part 11: week-11
session 53: Week 11-Lecture 51 : Classification of 1-manifolds
session 54: Week 11-Lecture 52 : Classification of 1-manifolds-continued
session 55: Week 11-Lecture 53 : Triangulation of Manifolds
session 56: Week 11-Lecture 54 : Pseudo-Manifolds
session 57: Week 11-Lecture 55 : One result due to PoincaÅ•e and another due to Munkres
part 12: week-12
session 58: Week 12-Lecture 56 : Some General Remarks
session 59: Week 12-Lecture 57 : Classification of Compact Surface
session 60: Week 12-Lecture 58 : Final Reduction-Completion of the Proof
session 61: Week 12-Lecture 59 : Proof of Part B
session 62: Week 12-Lecture 60 : Orientability

Catalogue records

nptel: 111101152 (manifestation)
nptel_video: 111101152 (manifestation)