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Is there a difference between a donut and a cup of coffee? It turns out the answer is no! In this video, we'll define the notion of homeomorphism and see why those two objects are homeomorphic. Enjoy! Topology Playlist: 🤍 Subscribe to my channel: 🤍 Check out my TikTok channel: 🤍 Follow me on Instagram: 🤍 Follow me on Twitter: 🤍 Teespring merch: 🤍
homeomorphism between topological spaces This video is the brief DEFINITION of a function to be homeomorphic in a topological space and in this video the main conditions are mentioned to be homeomorphism function For more videos SUBSCRIBE : 🤍 IF YOU GUYS WANA GIVE US FEEDBACK OR WANT TO MENTION ANYTHING THEN Follow me on FACEBOOK : 🤍 INSTAGRAM : e.academy12
We define homeomorphisms between topological spaces and show that this induces a bijection of the open sets of the spaces. We then give three examples of homeomorphisms, which show that neither size nor boundedness are topological properties. 00:00 Introduction 00:23 Definition: Homeomorphism 06:05 Prop: Characterization of Homeomorphism 19:52 Example: Open balls are homeomorphic 26:44 Example: Unit ball is homeomorphic to R^n 36:55 Example: Cube is homeomorphic to sphere This lecture follows Lee's "Introduction to topological manifolds", chapter 2. A playlist with all the videos in this series can be found here: 🤍
The concept of homeomorphism is central in topology. However, it is extremely difficult to verify homeomorphic links between surfaces. This video introduces the Euler Characteristic, which groups surfaces up to homeomorphism. Implications that are deducible this point on are also discussed among other applications.
Homeomorphism and Some examples | Topology by James R Munkres #topology #topologicalspace
In this video continuous concept of function functions in General Topology is discussed
Hi, this is Vibhor Tyagi. welcome to my YouTube channel, mathematics- take it easy. here, I am going to provide you video lectures of all the topics of mathematics from basic to IIT JEE level. & from graduation to post graduation level. To score 100% marks join me now. . . .in this video theorem on Homeomorphism, most important theorem in topology, homeomorphism definition,
Goal. Explaining basic concepts of geometric topology in an intuitive way. This time. What are...homeomorphisms? Or: Rubber geometry. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Disclaimer. Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds. Slides. 🤍 Website with exercises. 🤍 Thumbnail. Square and circle created by hand ;-) Geometric topology. 🤍 🤍 🤍 🤍 🤍 🤍 Concepts in geometric topology. 🤍 🤍 🤍 🤍 🤍 🤍 🤍 🤍 🤍 Applications of geometric topology. 🤍 🤍 🤍 Homeomorphisms. 🤍 🤍 🤍 Some function used. 🤍 🤍 Pictures used. 🤍 Pictures from the lecture 🤍 Pictures via Plot of Mathematica 🤍 🤍 🤍 🤍 Pictures via ParametricPlot of Mathematica Some books I am using (I sometimes steal some pictures from there). 🤍 🤍 🤍 🤍 🤍 🤍 🤍 KnotAtlas. 🤍 SnapPy. 🤍 Mathematica. 🤍 🤍 SageMath. 🤍 #geometrictopology #topology #mathematics
An introductory lecture on homeomorphism. Complete list of 68 lectures on Metric Space is available on our Android app. Link to download AllyLearn android app - 🤍
Assalam o alaikum Welcome to Study with Abrar Mathematics Topology Topic : Homeomorphism WhatsApp :+923480391260 . Please do subscribe my channel for more informational videos Thank you
This lecture is part of the lecture series in General Topology and in continuation to the lecture no 11. In this lecture few examples of continuous functions, open maps and closed maps are discussed.
B. Sc. Third year Mathematics. Real Analysis: Homeomorphism of Metric Spaces, Definition and examples of dense set . Problems on closed sets .
المحاضرة الحادي عشر
Why is a doughnut equivalent to a mug? Visit 🤍 to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. 💁♂️ SUPPORT THE CHANNEL Patreon: 🤍 🎧 HIGHLY CURATED, ROYALTY-FREE MUSIC & SOUND EFFECTS Artlist (2 Months For Free!): 🤍 🎞 UNLIMITED STOCK FOOTAGE PLATFORM Artgrid (2 Months For Free!): 🤍 💻 EDITING TEMPLATES (Premiere Pro, After Effects, FCPX & DaVinci Resolve) + MORE Motion Array ($50 Discount!): 🤍 CHAPTERS: 00:00 - Turning a Mug into a Doughnut 01:30 - Geometry vs. Topology 02:05 - Review on Polyhedra 02:58 - Euler Characteristic of a Sphere 04:07 - Euler Characteristic of a Torus 04:51 - Euler Characteristic Formula given no. of Holes 05:10 - A Homeomorphism Puzzle 05:42 - Puzzle Solution 06:54 - Topology Complexity Iceberg 07:07 - Closing Previous Video on Möbius Strip and Klein Bottle: 🤍 #SoME2 This video is sponsored by Brilliant. AFFILIATE DISCLOSURE: There are links in this description that, if you choose to click them and make a purchase, will earn me a commission at no cost to you. Having said that, I only ever promote things I believe will bring value to my audience.
We give a brief introduction to homeomorphisms, homotopy equivalences, and the difference between them. These notions describe when two shapes are described to be "the same" to a topologist. his tutorial was contributed as part of the WinCompTop+AATRN Tutorial-a-thon in Spring 2021: 🤍
In this lecture, we will discuss the concept of homeomorphism in topology. - 𝗢𝘁𝗵𝗲𝗿 𝗖𝗼𝘂𝗿𝘀𝗲𝘀 𝗼𝗻 𝘁𝗵𝗶𝘀 𝗖𝗵𝗮𝗻𝗻𝗲𝗹 Set Topology (Beta version): 🤍 Introduction to Group Theory (Beta version): 🤍 Introduction to Complex Analysis (Alpha version): 🤍 Ordinary Differential Equations (Alpha version): 🤍 Thomas Calculus (Quick review): 🤍 Calculus Problems (Shorts): 🤍 - 𝗦𝗼𝗰𝗶𝗮𝗹 𝗠𝗲𝗱𝗶𝗮 𝗟𝗶𝗻𝗸𝘀 Facebook: 🤍TheMathematicsOutlet 🤍 YouTube: 🤍TheMathematicsOutlet 🤍 - 𝗡𝗼𝘁𝗲: This Video use for Education. We don't teach hacking or any other illegal things. - #TheMathematicsOutlet #AmmarMujahid #Homeomorphism #Topology #MathOutlet #Ammar #PPSC #PPSCMath #PPSCMathPreparation #PPSCTestPreparation #PPSCMathTestPreparation #GATEExamPreparation #howtoprepareforGATE
In this lecture, Homeomorphism of General Topology is discussed.
Assalam O Alaikum wr! In this video we will discuss an introductory concept about Homeomorphism with its statement and conditions also we can say it as a homeomorphic. we understand it with the help of examples................ Also we discuss its one theorem i:e 7.10.8 THEOREM: " Let f : XY be a bijective function. Then f inverse is continuous if and only if f is open " Some Related Links 1- Continuous Function in Topological Space with Examples 🤍 2- Related Theorem to Continuous Function (For Open Sets) 🤍 Link of complete Playlist of Topology. 🤍 #Homeomorphism #TheoreminTopology #EducationwithAyesha
What is Homeomorphism? Show that Real Line R and an open interval (-1,1) are homeomorphic. For Solution of Past Papers plz visit👇 Real Analysis-I 🤍 Real Analysis-II 🤍 For Detailed Lectures On Topology 🤍 Plane Cuves I 🤍 Real Analysis I 🤍 Graph Theory 🤍 Improper Integrals 🤍 #Topology #Homeomorphism
Support me by checking out 🤍 Introduction to Topology. In this video, I will introduce the motivation to study topology. I will talk about topological spaces, continuous maps, homeomorphisms, and what does it mean to be homeomorphic. If you like the video, please help my channel grow by subscribing to my channel and sharing my videos. Thank you for watching! Maksym Zubkov zubkovmaksym🤍gmail.com
Previous videos on Topology - 🤍 This video lecture on the "Bicontinuous Mapping and Homeomorphism in Topology". This is helpful for the students of BSc, BTech, MSc and for competitive exams where Real Analysis is asked. 1. Definition of Bicontinuous Mapping in Topology 2. What is Homeomorphism in Topology with Example 3. Overview Of Topology 4. This is helpful For B.Sc & Engineering Mathematics #Topology #TopologicalSpace #Base #ShortTrick #Engineering #BSCMaths #GATE #IITJAM #CSIRNET ⬇️ ⬇️ ⬇️ ⬇️ ⬇️ ⬇️ ⬇️ ⬇️ ⏱Time Stamp⏱ →0:00 - Introduction of video on Bicontinuous Mapping and Homeomorphism in Topology| Topology →0:35 - Bicontinuous Mapping | Topology →1:32 - Example of Bicontinuous Mapping | Topology →5:24 - Homeomorphism | Topology →5:45 - Example 1 of Homeomorphism | Topology →6:28 - Example 2 of Homeomorphism | Topology →7:07 - Example 3 of Homeomorphism | Topology →10:05 - Example 3 of Homeomorphism | Topology →11:05 - Conclusion of the video ➡️ This Playlist of Discrete Mathematics Will Consists of the following Videos:- 1) Discrete Mathematics Sets, Function & Relation. 2) Discrete Mathematics Hasse Diagram, Lattice & Combinations 3) Discrete Mathematics Propositioned Logic 4) Discrete Mathematics Finite State Machine 5) Discrete Mathematics Recurrence Relation & Generating Function 6) Discrete Mathematics Graph Theory ➡️ This Video is helpful for :- 1) Discrete Mathematics for bsc 3rd Year 2) Discrete Mathematics for bsc 2nd Year 3) Discrete Mathematics for bsc 1st Year 4) Discrete Mathematics for B.Sc. Engineering 5) Discrete Mathematics for B Tech 2nd Year This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE, and IIT-JAM Aspirants. Do Like & Share this Video with your Friends. If you are watching for the first time then Subscribe to our Channel and stay updated for more videos around Mathematics 📚 My All New IIT JAM Book is OUT 😄 - 🤍 📚 NEW Advanced CSIR-NET Book - 🤍 🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹 💯 My Social Media Handles 💯 📌 GP Sir Instagram: 🤍 📌 GP Sir Facebook Page: 🤍 📌 Unacademy: 🤍 📌 MOJ: 🤍 📚 Important Course Playlist 📚 📌 Link to B.Sc. Maths Playlist: 🤍 📌 Link to Engineering Maths Playlist: 🤍 📌 Link to IIT-JAM Maths Playlist: 🤍 📌 Link to GATE (Engg.) Maths Playlist: 🤍 📌 Link to IAS Optional Maths Playlist: 🤍 📌 Link To CSIR NET Maths Playlist: 🤍 🔥 Motivational Videos & Tips For Students (Make Student Life Better) - 🤍 📷 My Equipment & Gear 📷 ▶️My Phone - 🤍 ▶️My Primary Laptop - 🤍 ▶️My Secondary Laptop - 🤍 ▶️My Primary Camera - 🤍 ▶️My Secondary Camera - 🤍 ▶️Secondary Mic - 🤍 ▶️Vlogging Mic - 🤍 ▶️Tripod - 🤍 ▶️Secondary Screen - 🤍 📚 Following Topics Are Also Available 📚 📒Linear Algebra: 🤍 📕Abstract Algebra Lectures: 🤍 📗Real Analysis: 🤍 📘Complex Analysis: 🤍 📙Differential Equation: 🤍 📒Partial Differentiation: 🤍 📕Numerical Analysis: 🤍 📗Operation Research: 🤍 📘Statistics & Probability: 🤍 📙Integral Calculus: 🤍 📒Differential Calculus: 🤍 📕Multivariable Calculus: 🤍 📗Vector Calculus: 🤍 Thanks For Watching My Video 🙏🏻 Like, Share & Subscribe 💯 Dr.Gajendra Purohit
IN THIS VIDEO I EXPLAIN THE HOMEOMORPHISM IN TOPOLOGY
Homeomorphisms. A bijective function is an open map if and only if inverse of f is continuous. A bijective and continuous map need not be homeomorphism. Explanation to example 6 and 7 of J. R Munkres Topology . Topological imbedding.
If You Like Our Videos, Kindly Subscribe Our Channel [SciTech Urdu Tv] And Press Bell Icon To Stay Updated For New Videos. THANKS You Can Check All Subject Lectures In Playlist Section. #TopologyLectures Topology Topic091 Examples Homeomorphism | Math Lectures In Urdu/Hindi For MSc and BSc and BS Mathematics Topology Full Lectures Examples Theorem And Proof