True /False question about Compact sets and continuous functions
19111
If every real-valued continuous function is bounded on $X$ (metric space), then $X$ is compact.
55648
Intersection of finite number of compact sets is compact?
86327
If the absolute value of a function is continuous, is the function continuous?
12003
Cardinality of set of real continuous functions
115794
When is the vector space of continuous functions on a compact Hausdorff space finite dimensional?
9268
Proving that the Union of Two Compact Sets is Compact
10531
Is the convex hull of a compact set compact?
41408
Which of the following sets are compact:
47188
Uniformly Continuous Function sending Bounded Set to Unbounded One
153510
Questions about the existence of a function
50725
Inverse of function is continuous or not?
59519
What about the continuity of these functions in the uniform topology?
28391
Prove the compactness of a set B
51156
Function is Continuous When Restricted to Closed Sets Which Cover the Space
36149
A uniformly continuous function maps bounded set to bounded sets
132946
Continuous and bounded imply uniform continuity?
107772
Separability of functions with compact support