Recent content by santiagorf
-
S
Undergrad Why the space X=(0,1) is (not sequentially) compact?
I see, this works for subsets of R^n- santiagorf
- Post #4
- Forum: Topology and Analysis
-
S
Undergrad Why the space X=(0,1) is (not sequentially) compact?
My problem is that the space X= (0,1) is not sequentially compact and compact at the same time. It is not sequentially compact: If we define the sequence (\frac{1}{n}) we can show that it is not sequentially compact as the sequence converges to 0, but 0 \notin X. It is compact: On the other...- santiagorf
- Thread
- Compact Space
- Replies: 7
- Forum: Topology and Analysis