Subspace vs Product - Differences between topologies | Topology

We prove a theorem that shows us that if we have a subset of a product space, then the subspace and the product topology coincide. ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic 💸 Support us on Patreon, get great perks and items!   / problemathic   👕 Buy great math t-shirts! https://problemathic.creator-spring.com/ 💥 Over 40k followers on Instagram, join us!   / problemathicvideos   💬 Join our Discord server!!   / discord   🖇️ https://linktr.ee/Problemathic Timestamps in this video: 00:00 Introduction. 00:36 Differencing all the topologies. 03:40 Proving the theorem. #maths #topology #analysis