Course on Topology and Functional Analysis for Kerala SET Exam - Unit VI
PREVIEW
Course on Topology and Functional Analysis for Kerala SET Exam - Unit VI
Vimal V
Ended on Jan 14
Dec 13, 2022 - Jan 14, 2023
50 lessons
0 practices
0 questions by educators
Week 1
Dec 12 - 18
8 lessons
Dec
13
Introduction
Lesson 1  •  Dec 13  •  58m
Dec
13
Metric Spaces
Lesson 2  •  Dec 13  •  59m
Dec
14
Open Balls & Open Sets
Lesson 3  •  Dec 14  •  1h 2m
Dec
14
Sequences
Lesson 4  •  Dec 14  •  1h 1m
Dec
15
Limit & Cluster Point and Doubt Clearing
Lesson 5  •  Dec 15  •  1h
Dec
15
Cauchy Sequence & Completeness
Lesson 6  •  Dec 15  •  57m
Dec
16
Bounded Set
Lesson 7  •  Dec 16  •  31m
Dec
16
Completion of a Metric Space.
Lesson 8  •  Dec 16  •  1h
Week 2
Dec 19 - 25
11 lessons
Dec
19
Heine-Borel Theorem for Rn
Lesson 9  •  Dec 19  •  1h
Dec
19
Compact Subsets, Connected Subsets of R & C, and Doubt Clearing
Lesson 10  •  Dec 19  •  37m
Dec
19
Practice Questions - Part I
Lesson 11  •  Dec 19  •  50m
Dec
20
Topological Spaces - Introduction
Lesson 12  •  Dec 20  •  1h
Dec
20
Topological Spaces - Examples
Lesson 13  •  Dec 20  •  1h 1m
Dec
21
Open Sets and Closed Sets & Doubt Clearing
Lesson 14  •  Dec 21  •  1h
Dec
21
Usual Topology on R and C
Lesson 15  •  Dec 21  •  29m
Dec
22
Base and Subbase for a Topology
Lesson 16  •  Dec 22  •  1h
Dec
22
Closure, Interior, and Boundary of Subsets
Lesson 17  •  Dec 22  •  1h
Dec
23
Compactness and Connectedness.
Lesson 18  •  Dec 23  •  1h
Dec
23
Convergence of Sequences in a Topological Space & Doubt Clearing
Lesson 19  •  Dec 23  •  53m
Week 3
Dec 26 - Jan 1
12 lessons
Dec
26
Baires Category Theorem
Lesson 20  •  Dec 26  •  53m
Dec
27
Hausdorff Spaces and Separation Axioms -Part II
Lesson 21  •  Dec 27  •  1h 1m
Dec
28
Continuity of Functions Between Topological Spaces
Class was cancelled by the Educator
Dec
28
Homeomorphisms
Lesson 23  •  Dec 28  •  1h 4m
Dec
29
Product Topology & Doubt Clearing
Lesson 24  •  Dec 29  •  1h
Dec
29
Hausdorff Spaces and Separation Axioms -Part I
Lesson 25  •  Dec 29  •  1h
Dec
29
Practice Questions - Part II
Lesson 26  •  Dec 29  •  59m
Dec
30
Normed Linear Spaces - Introduction
Lesson 27  •  Dec 30  •  1h
Dec
30
Banach Space
Lesson 28  •  Dec 30  •  48m
Dec
31
Finite and Infinite Dimensional Normed Spaces
Lesson 29  •  Dec 31  •  57m
Jan
1
Continuous Linear Maps
Lesson 30  •  Jan 1  •  1h 2m
Jan
1
Bounded Operators and Operator Norm
Lesson 31  •  Jan 1  •  55m