14. How to prove the collections of basis B Generates Usual Topology on R | Topological Spaces

How to prove the collections of basis B Generates Usual Topology on R | Topological Spaces

✅ In This Video :-

➡️ Class : M.Sc. Sem.-III, P.U.
➡️ Subject : Topology
➡️ Chapter : 1
" Topological Spaces "
➡️ Topic Name : Chapter 1 "All Solved Theorems, Examples and Questions"
➡️ Topic Covered In This Video : Precise Book (Dr. G. S. Sandhu)


🟧 Chapter 1 " TOPOLOGICAL SPACES " Playlist👇👇
   • Topological Spaces
 (Topology)  

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💥 TOPOLOGICAL SPACES 💥

1. Introduction

2. Definition and Examples

3. Some Special Topologies :-
3.1. Indiscrete Topology or Trivial Topology
3.2. Discrete Topology
3.3 Co-finite Topology or Finite Complement Topology
3.4 Co-counter Topology
3.5. Usual Topology or Standard Topology or The Euclidean Topology on R
3.6. Lower Limit Topology (Sorgenfrey Line)
3.7. Upper Limit Topology
3.8. Right Handed Topology
3.9. Left Handed Topology
3.10. Particular Point Inclusion Topology
3.11. Particular Point Exclusion Topology
3.12. Fixed Set Inclusion Topology
3.13. Fixed Set Exclusion Topology

4. Comparison of Topologies

5. Basis for a Topology

6. Subbasis

7. The Order Topology

8. Product of Two Topological Spaces

9. Subspace Topology

10. Topology in Terms of Closed Sets

11. Hausdorff Spaces

12. Short Trick To Solve Theoretical Questions of Topological Spaces in Topology.


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