Point Set Topology 1D534WVEKM

URI	`m2://res/1D534WVEKM`
Kind	course
Creators	Ronnie Sebastian (instructor)
Date	2023-07-11
Scope	in
Ids	course 02qyf5152:111101168

Expressions

e1: edition

Language	en
Date	2023-07-11

m1: page, IIT Bombay (record). nptel 111101168
m2: page, 2023-07-11 (record). nptel 111101168

Contents

part 1: Week 1
session 1: Lecture 1.1: Definition and examples of topological spaces
session 2: Lecture 1.2: Examples of topological spaces
session 3: Lecture 1.3: Basis for topology
session 4: Lecture 1.4: Subspace Topology
session 5: Lecture 1.5: Product Topology
part 2: Week 2
session 6: Lecture 2.1: Product Topology (continued)
session 7: Lecture 2.2: Continuous maps
session 8: Lecture 2.3: Continuity of addition and multiplication maps
session 9: Lecture 2.4: Continuous maps to a product
session 10: Lecture 2.5: Projection from a point
part 3: Week 3
session 11: Lecture 3.1: Closed subsets
session 12: Lecture 3.2: Closure
session 13: Lecture 3.3: Joining continuous maps
session 14: Lecture 3.4: Metric spaces
session 15: Lecture 3.5: Connectedness
part 4: Week 4
session 16: Lecture 4.1: Connectedness (continued)
session 17: Lecture 4.2: Connectedness (continued)
session 18: Lecture 4.3: Connected components
session 19: Lecture 4.4: Path connectedness
session 20: Lecture 4.5: Path connectedness (continued)
part 5: Week 5
session 21: Lecture 5.1: Connectedness of GL(n,R)^+ (math symbol)
session 22: Lecture 5.2: Connectedness of GL(n,C), SL(n,C), SL(n,R)
session 23: Lecture 5.3: Compactness
session 24: Lecture 5.4: Compactness (continued)
session 25: Lecture 5.5: Compactness (continued)
part 6: Week 6
session 26: Lecture 6.1: Compactness (continued)
session 27: Lecture 6.2: SO(n) is connected
session 28: Lecture 6.3: Compact metric spaces
session 29: Lecture 6.4: Lebesgue Number Lemma
session 30: Lecture 6.5: Locally compact spaces
part 7: Week 7
session 31: Lecture 7.1: One point compactification
session 32: Lecture 7.2: One point compactification (continued)
session 33: Lecture 7.3: Uniqueness of one point compatification
session 34: Lecture 7.4: Quotient topology
session 35: Lecture 7.5: Quotient topology on G/H
session 36: Lecture 7.6: Grassmannian
part 8: Week 8
session 37: Lecture 8.1: Normal topological spaces
session 38: Lecture 8.2: Urysohn’s Lemma
session 39: Lecture 8.3: Tietze Extension Theorem
session 40: Lecture 8.4: Regular and Second Countable spaces
session 41: Lecture 8.5: Product Topology on \mathbb{R}^{\mathbb{N}}
session 42: Lecture 8.6: Urysohn’s Metrization Theorem

Catalogue records

nptel: 111101168 (manifestation)
nptel_video: 111101168 (manifestation)