Ways to “compress” a topology!

# Tag: Mathematical Sciences

## Quick Revision: Topological Spaces (Part 1.1)

The definition of topological spaces and some interesting examples and counterexamples of topological spaces!

## Quick Revision: Topology (Part 0)

A series to quickly revise Topology – Dedicated to my students.

## Analysis/Topology: Connected Sets in Metric Spaces

A short discussion on Connected Sets in Metric Spaces with definition, examples, counterexamples, properties and quizzes.

## Topology/Analysis: Homeomorphism

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 Gā is open if and only if the image f(G)ā is open. The…

## Video Lecture: Examples of Metric Spaces (Lecture 2)

Here’s a video discussing a few simple examples of metric spaces.

## Euler and The Corona Pandemic

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.

#BeAProudMathematician

## Video Lecture: Definition of Metric Spaces (Lecture 1)

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

Examples and Counterexamples: Real Line with Discrete Metric/Topology. Did you try the challenges at the end? Leave your thoughts in the comments below!

## CSIR-NET: Analysis/Topology Quiz 3

A simple question to check if you have understood the definition of metric spaces: how well do you know this definition?