The Product Topology - Examples and Properties with Proofs | Topology

We learn about the product topology for a general set, the difference between the standard and the order topologies for the real line and analyse the intervals in the dictionary order topology for the plane. ☕ 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. 01:20 Product topology. 02:02 Theorem: Product of basis. 03:57 Topology of the plane. 04:40 Standard vs order in the plane. 06:02 Conclusion. #maths #topology #analysis