Quotient spaces, visually understood

Quotient spaces until recently gave me a great deal of trouble. I had no intuition for them, and no image to latch on to.

Until I started taking algebraic topology.

I learned that the quotient under an equivalence relation is like gluing 2 spaces together, where the points you stick together are identified with each other.

This excellent image illustrates the idea for the attaching map of two topological spaces. The requirement that \(f\) be a homeomorphism is also clearer from the picture.

Related Posts

Random Thought: LC Theorem

I finally have an answer to "who's your favorite singer?"

My Top Tip for Helping People Get Started Programming


Random paper on angles

An Image is Worth 16x16 Words

Random stuff

Lossless Data Compression with Neural Networks by Fabrice Bellard

Downscaling Numerical Weather Models With GANs (My CI 2019 Paper)

Learning Differential Forms and Questions