Math 2.0

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Essentials Of Topology CW4DVP2JVX

URIm2://res/CW4DVP2JVX
Kindcourse
CreatorsS. P. Tiwari (instructor)
Date2023-07-06
Scopein

Expressions

e1: edition

Languageen
Date2023-07-06
Contents
  • part 1: Week 1
  • session 1: Lecture 1 : Introduction
  • session 2: Lecture 2 : Sets and Functions-I
  • session 3: Lecture 3 : Sets and Functions-I
  • session 4: Lecture 4: Sets and Functions-III
  • session 5: Lecture 5 : Sets and Functions-IV
  • session 6: Lecture 6 : Metric Spaces
  • session 7: Lecture 7 : Topological Spaces
  • part 2: Week 2
  • session 8: Lecture 8 : Topological Spaces (Examples)
  • session 9: Lecture 9 : Topologies on R-I
  • session 10: Lecture 10 : Topologies on R-II
  • session 11: Lecture 11 : Comparison of topologies
  • session 12: Lecture 12 : Closed sets
  • session 13: Lecture 13 : Basis for a topology-I
  • part 3: Week 3
  • session 14: Lecture 14 : Basis for a topology-II
  • session 15: Lecture 15 : A topology on R^2
  • session 16: Lecture 16 : Subbasis and Neighborhood
  • session 17: Lecture 17 : Limit points of sets
  • session 18: Lecture 18 : Closure of sets
  • session 19: Lecture 19 : Interior and boundary of sets
  • part 4: Week 4
  • session 20: Lecture 20 : Subspaces
  • session 21: Lecture 21 : Product topology
  • session 22: Lecture 22 : Product and Box topologies
  • session 23: Lecture 23 : The Quotient topology
  • session 24: Lecture 24 : Krakowski closure/interior operator
  • part 5: Week 5
  • session 25: Lecture 25 : Countability axioms-I
  • session 26: Lecture 26 : Countability axioms-II
  • session 27: Lecture 27 : Countability axioms-III
  • session 28: Lecture 28 : Continuous functions-I
  • session 29: Lecture 29 : Continuous functions-II
  • session 30: Lecture 30 : Continuous functions-III
  • part 6: Week 6
  • session 31: Lecture 31 : Continuous functions-IV
  • session 32: Lecture 32 : Homeomorphisms-I
  • session 33: Lecture 33 : Homeomorphisms-II
  • session 34: Lecture 34 : Homeomorphisms-III
  • session 35: Lecture 35 : Connectedness-I
  • part 7: Week 7
  • session 36: Lecture 36 : Connectedness-II
  • session 37: Lecture 37 : Connectedness-III
  • session 38: Lecture 38 : Connectedness-IV
  • session 39: Lecture 39 : Connectedness-V
  • session 40: Lecture 40 : Connectedness-VI
  • session 41: Lecture 41 : Connectedness-VII
  • session 42: Lecture 42 : Connectedness-VIII
  • part 8: Week 8
  • session 43: Lecture 43 : Path connectedness-I
  • session 44: Lecture 44 : Path connectedness-III
  • session 45: Lecture 45 : Path connectedness-III
  • session 46: Lecture 46 : Path components and Local connectedness
  • session 47: Lecture 47 : Local connectedness
  • session 48: Lecture 48 : Local path connectedness
  • part 9: Week 9
  • session 49: Lecture 49 : Compactness-I
  • session 50: Lecture 50 : Compactness-II
  • session 51: Lecture 51 : Compactness-III
  • session 52: Lecture 52 : Compactness-IV
  • session 53: Lecture 53 : Compactness-V
  • session 54: Lecture 54 : Compactness-VI
  • part 10: Week 10
  • session 55: Lecture 55 : Compactness-VII
  • session 56: Lecture 56 : Compactness-VIII
  • session 57: Lecture 57 : Compactness-IX
  • session 58: Lecture 58 : Compactness-X
  • session 59: Lecture 59 : One-point compactifications-I
  • session 60: Lecture 60 : One-point compactifications-II
  • part 11: Week 11
  • session 61: Lecture 61 : Separation axioms-I
  • session 62: Lecture 62 : Separation axioms-II
  • session 63: Lecture 63 : Separation axioms-III
  • session 64: Lecture 64 : Separation axioms-IV
  • session 65: Lecture 65 : Separation axioms-V
  • session 66: Lecture 66 : Separation axioms-VI
  • part 12: Week 12
  • session 67: Lecture 67 :Separation axioms-VII
  • session 68: Lecture 68 : Separation axioms-VIII
  • session 69: Lecture 69 : Tychonoff theorem-I
  • session 70: Lecture 70 : Tychonoff theorem-II
  • session 71: Lecture 71 : Stone-Cech compactification-I
  • session 72: Lecture 72 : Stone-Cech compactification-II

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