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Example of non Compact Discrete Metric Space | L10 | Compactness @ranjankhatu
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Example of non Compact Discrete Metric Space | L10 | Compactness @Ranjan Khatu
#ranjankhatu
#notCompact
#discrete metric space
#example
Check the following Playlists on the Topics
1. Line Integrals
2. Calculus- Unit 1
3. Complex Analysis
4. Series
5. Triple Integration
6. Metric Spaces
7. Double Integration
8. Applications of Laplace Transforms
9. Laplace Transforms
10. Indefinite and Improper Integrals
11. Riemann Integration
12. Limits and Continuity
13. Basic Complex Analysis
14. Continuous Functions
15. Function
16. Beta and Gamma Functions
17. IIT JAM | Double and Triple Integration
18. Surface Integrals
19. Compact Metric Space
#ranjankhatu
#notCompact
#discrete metric space
#example
Check the following Playlists on the Topics
1. Line Integrals
2. Calculus- Unit 1
3. Complex Analysis
4. Series
5. Triple Integration
6. Metric Spaces
7. Double Integration
8. Applications of Laplace Transforms
9. Laplace Transforms
10. Indefinite and Improper Integrals
11. Riemann Integration
12. Limits and Continuity
13. Basic Complex Analysis
14. Continuous Functions
15. Function
16. Beta and Gamma Functions
17. IIT JAM | Double and Triple Integration
18. Surface Integrals
19. Compact Metric Space
Example of non Compact Discrete Metric Space | L10 | Compactness @ranjankhatu
Example of non discrete topology
A Closed and Bounded subset of a Metric Space need not be Compact |L30| Compactness @ Ranjan Khatu
Example of non Compact Subset of R2 | L27 | Compactness @ranjankhatu
Example - Non Compact Subset of R2 | L28 | Compactness @ranjankhatu
Proof- A=(0,1] is not Compact using Sequentially Compactness | L42 | Compactness @ranjankhatu
Proof of R is not Compact | L3 | Compactness @ranjankhatu
Compact Sets
Hilbert Spaces: sequentially closed and compact, compact implies closed and bounded, 1-23-23 part 2
any infinite subset A of a discrete topological space X is not compact/L21/ compactness in topology
Example - Non Compact Subset of R2 | L36 | Compactness @ranjankhatu
Proof- In a Discrete Metric Space, every Compact set is finite | L22 | Compactness @ranjankhatu
Discrete metric space proof
Every Counterexample in Topology and Whether or Not Each is Compact (Zoom for Thought 10/26/21)
Comment below if you need this video Compactness in Normed Space Definition Lemma&Theorem
On non-compact p-adic definable groups
Compactness 3 (Topology)
mod08lec47 - Different Kinds of Compactness
Every discrete space is To-space. Explanation with an example. Module no 129 MTH634 Topology
Compact space
Example on Every Discrete Space is T1-Space. Topic no 131 MTH634 Topology
Finite subset of discrete metric space is compact.
Birgit Speh, 'Branching Laws for Representations of a Non compact Orthogonal Group'
Minju Lee - 1/2 Discrete Subgroups with Finite Bowen-Margulis-Sullivan Measure in Higher Rank
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