NOC:Essentials of Topology

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Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. S. P. Tiwari

NPTEL Co-ordinating Institute : IIT-ISM Dhanbad

NPTEL Lecture Count : 72

NPTEL Course Size : 4.7 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)


Lecture Titles:

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

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