Ways to “compress” a topology!
The definition of topological spaces and some interesting examples and counterexamples of topological spaces!
A series to quickly revise Topology – Dedicated to my students.
A short discussion on Connected Sets in Metric Spaces with definition, examples, counterexamples, properties and quizzes.
Definition If is one-one and onto (1-1 correspondence/bijection) continuous is continuous Then we call a homeomorphism between two metric spaces . The metric space are said to be homeomorphic. Properties and Theorems If f is a homeomorphism between metric spaces , The set G⊂ is open if and only if the image f(G)⊂ is open. The…
Here’s a video discussing a few simple examples of metric spaces.
How someone who lived in 18th century is helping us fight the pandemic today? An introduction to Euler and Graph Theory, on how it is used to #fight CoVID-19 Pandemic.
Here’s a video discussing the definition of metric spaces, and the inspiration behind it. Rarely
Examples and Counterexamples: Real Line with Discrete Metric/Topology. Did you try the challenges at the end? Leave your thoughts in the comments below!
A simple question to check if you have understood the definition of metric spaces: how well do you know this definition?