#topologicalspace #whatistopology #homeomorphism

About This Video:

In this video, I have covered the basics of topology and I have given illustrations, and examples and made a stepbystep approach: how from Euclidean geometry we proceeded and made topology which is an extension of Euclidean geometry. I have used the concept of congruency and have shown how congruency has been replaced by 'topological invariance' and how the polygonal shapes are being replaced by any shapes.
The concept of homeomorphism has been covered but not much in detail, which is the topic of my next video.
Topology is an important subject in the study of shapes and sizes. Broadly speaking, topology deals with shapes and how they are connected to each other.

If you want to view my first lecture on topology, here is the link:
   • Topology For Beginners | Topology for...  

Here are the topics listed:

00:00 01:31 Topics and introduction
01:32 06:38 What is topology?
06:39 11:14 Congruency and topological invariance
11:15 15:35 Homeomorphism of shapes
15:35 16:34 Technical definition of Topology
16:35 19:39 Euclid and beyond
19:40 22:35 What is a Euclidean space?
22:36 25:07 What is the topological axiom?
25:08 31:23 What is an open set?
31:24 32:12 What is an open interval?
32:13 33:58 Peter Sergeyevich Alexandrov
33:59 40:50 Axioms in topology and the proof
40:51 43:11 What is a Dehn twist?
43:12 45:32 Summary

Apologies for the spelling mistake. It should be Homomorphism.

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