Compactness Flashcards
1
Q
Define a cover
A
2
Q
Define compactness
A
3
Q
Give compactness in terms of basis
A
4
Q
Give the relationship between continuity and compactness
A
5
Q
A closed subset of a compact space is?
A
6
Q
A compact subset of a Hausdorff space is
A
7
Q
When is a map between a compact space and a Hausdorff space a homeomorphism
A
8
Q
Are product spaces compact?
A
9
Q
State Heine Borel
A
10
Q
Does a cts map from X to R obtain its max?
A
11
Q
State Bolzano Weierstrass
A
