DiBeos

Have you ever wondered what makes a space Topological? In this video we will delve into the complete introduction into Topology: everything from famous shapes, to open sets, discrete and fine topologies, with examples with socks and US states, and so much more.

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If you find value in our videos and would like to support our work further, and get very useful info that is unavailable anywhere else, consider purchasing this Full PDF on the Introduction to Topology

This Full PDF is a visually guided introduction to the foundational concepts of topology. It is aimed at helping you develop an intuitive and rigorous understanding of topological spaces. We will look at key topics such as open sets, quotient topologies, and classic constructions like the torus, Möbius strip, Klein bottle, and real projective plane, both from the intuitive point of view and rigor with practice. But most importantly, we will answer the question: “How does the concept of open sets relates to these topological shapes?”. This work will systematically build your understanding, beginning with basic definitions and progressing to more advanced notions involving topological identification via equivalence relations. It follows our DIBEOS METHOD: 1. Intuition, 2. Concrete examples, 3. Rigor, 4. Practice (exercises).

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