Usual Topology is coarser than Lower, Upper and K-Topology | Lecture 21 || Set Topology

In this lecture we will discuss: lower limit topology is finer than usual topology, upper limit topology is finer than standard topology and lower K-topology is finer than usual topology. --------------------------------------------------------------- 𝗠𝗼𝗿𝗲 𝗮𝗯𝗼𝘂𝘁 𝘁𝗵𝗶𝘀 𝗩𝗶𝗱𝗲𝗼 Standard topology is finer than Cofinite topology. Ru,Rk and Rl are finer than R M.Sc BS Math Usual Topology or Standard Topology or Euclidian topology and Lower limit topology --------------------------------------------------------------- #UsualTopology #LowerLimitTopology #UpperLimitTopology #KTopology #TheMathematicsOutlet #AmmarMujahid #BScAdpMath #PPSCMath #PPSCMathPreparation #PPSCTestPreparation #PPSCMathTestPreparation #GATEExamPreparation #howtoprepareforGATE --------------------------------------------------------------- 𝗧𝗶𝗺𝗲𝗦𝘁𝗮𝗺𝗽𝘀 0:00 Introduction 0:38 Stronger and Weaker topology 1:46 Usual Topology is weaker than Lower limit Topology 4:49 Usual Topology is coarser than Upper limit Topology 7:59 Usual Topology is coarser than K-Topology --------------------------------------------------------------- 𝗢𝘁𝗵𝗲𝗿 𝗖𝗼𝘂𝗿𝘀𝗲𝘀 𝗼𝗻 𝘁𝗵𝗶𝘀 𝗖𝗵𝗮𝗻𝗻𝗲𝗹 Set Topology (Beta version):    • Set Topology || Beta version   Introduction to Group Theory (Beta version):    • Introduction to Group Theory || Beta version   Introduction to Complex Analysis (Alpha version):    • Плейлист   Ordinary Differential Equations (Alpha version):    • Плейлист   Thomas Calculus (Quick review):    • Thomas Calculus || Quick Review   Calculus Problems (Shorts):    • Calculus Problems || Shorts   --------------------------------------------------------------- 𝗦𝗼𝗰𝗶𝗮𝗹 𝗠𝗲𝗱𝗶𝗮 𝗟𝗶𝗻𝗸𝘀 Facebook: @TheMathematicsOutlet   / themathematicsoutlet   YouTube: @TheMathematicsOutlet    / themathematicsoutlet   --------------------------------------------------------------- 𝗡𝗼𝘁𝗲: This Video use for Education. We don't teach hacking or any other illegal things. --------------------------------------------------------------- 𝙈𝙤𝙧𝙚 𝙖𝙗𝙤𝙪𝙩 𝙩𝙝𝙞𝙨 𝙫𝙞𝙙𝙚𝙤 --------------------------------------------------------------- 📌 Visit our Website: https://mathematicsoutlet.com/ Here, you can find Lecture notes, interactive online Courses and more. --------------------------------------------------------------- # # #mathematicsoutlet #themathematicsoutlet #ammarmujahid #mathoutlet #ammar --------------------------------------------------------------- ⏰ 𝙏𝙞𝙢𝙚𝙨𝙩𝙖𝙢𝙥𝙨 ⏰ Will be updated soon. --------------------------------------------------------------- 𝙊𝙩𝙝𝙚𝙧 𝘾𝙤𝙪𝙧𝙨𝙚𝙨 𝙤𝙣 𝙩𝙝𝙞𝙨 𝘾𝙝𝙖𝙣𝙣𝙚𝙡 📗 Set Topology (Beta version): http://bit.ly/3SIugPY 📘 Introduction to Group Theory (Beta version): http://bit.ly/41DNfz1 📔 Calculus 1 - MTH101: http://bit.ly/3y2QsKW 📙 Applied Calculus: http://bit.ly/3IGvmXO 📕 Linear Algebra for Engineers: https://bit.ly/3ynBgIR --------------------------------------------------------------- 𝙎𝙤𝙘𝙞𝙖𝙡 𝙈𝙚𝙙𝙞𝙖 𝙇𝙞𝙣𝙠𝙨 📌 Facebook Page:   / themathematicsoutlet   📌 Facebook Profile:   / hafizammarmujahid   📌 YouTube:    / @themathematicsoutlet   📌 Instagram:   / themathematicsoutlet   📌 TikTok:   / themathematicsoutlet   📌 GitHub: https://github.com/TheMathematicsOutlet --------------------------------------------------------------- 𝙉𝙤𝙩𝙚: This Video use for Education. We don't teach hacking or any other illegal things.