![real analysis - every infinite subset of a metric space has limit point => metric space compact? - Mathematics Stack Exchange real analysis - every infinite subset of a metric space has limit point => metric space compact? - Mathematics Stack Exchange](https://i.stack.imgur.com/tHIo7.png)
real analysis - every infinite subset of a metric space has limit point => metric space compact? - Mathematics Stack Exchange
![general topology - Example: limit point compact + $\neg$countably compact+ $\neg$Lindelöf - Mathematics Stack Exchange general topology - Example: limit point compact + $\neg$countably compact+ $\neg$Lindelöf - Mathematics Stack Exchange](https://i.stack.imgur.com/oD2bX.png)
general topology - Example: limit point compact + $\neg$countably compact+ $\neg$Lindelöf - Mathematics Stack Exchange
![DEFINITION -SEQUENTIALLY COMPACT | THEOREM - X IS LIMIT POINT COMPACT THEN X IS SEQUENTIALLY COMPACT - YouTube DEFINITION -SEQUENTIALLY COMPACT | THEOREM - X IS LIMIT POINT COMPACT THEN X IS SEQUENTIALLY COMPACT - YouTube](https://i.ytimg.com/vi/64nH6f03SC4/hqdefault.jpg)
DEFINITION -SEQUENTIALLY COMPACT | THEOREM - X IS LIMIT POINT COMPACT THEN X IS SEQUENTIALLY COMPACT - YouTube
![DEFINITION - LIMIT POINT COMPACT | THEOREM - IF X IS COMPACT THEN IT IS LIMIT POINT COMPACT | PART 1 - YouTube DEFINITION - LIMIT POINT COMPACT | THEOREM - IF X IS COMPACT THEN IT IS LIMIT POINT COMPACT | PART 1 - YouTube](https://i.ytimg.com/vi/3V9yDurPips/sddefault.jpg)
DEFINITION - LIMIT POINT COMPACT | THEOREM - IF X IS COMPACT THEN IT IS LIMIT POINT COMPACT | PART 1 - YouTube
![SOLVED: Which one is false? (A) If the set A contains all its limit points, then it is closed (B) If the set A € Ris compact; then the set f( A) SOLVED: Which one is false? (A) If the set A contains all its limit points, then it is closed (B) If the set A € Ris compact; then the set f( A)](https://cdn.numerade.com/ask_images/c9fbdacaba944d50a93d3b8c61c54ce4.jpg)
SOLVED: Which one is false? (A) If the set A contains all its limit points, then it is closed (B) If the set A € Ris compact; then the set f( A)
![Infinite subset of compact set has a limit point in set | Compactness | Theorem | Real analysis - YouTube Infinite subset of compact set has a limit point in set | Compactness | Theorem | Real analysis - YouTube](https://i.ytimg.com/vi/S8Jhnj0W0Kc/maxresdefault.jpg)