Limits, Bases, and Products Flashcards
1
Q
What is an open neighbourhood of X
A
Open set containing X
2
Q
What is a limit point
A
3
Q
When is a point not a limit point
A
4
Q
What is the interior
A
5
Q
What is the closure
A
6
Q
What does it mean for a subset to be dense
A
7
Q
What is the closure in terms of limit points?
A
8
Q
What are the limit points in metric spaces
A
9
Q
What is a basis?
A
10
Q
Give the relations between between closures and complements
A
11
Q
Give the equivalence between f being continuous and basis
A
12
Q
When does a collection of subsets form a basis
A
13
Q
What is the product topology?
A
14
Q
Give the properties of the projection maps
A
15
Q
What is a map to a product space cts
A
16
Q
What is a product space hausdorff
A
