Topological Spaces Flashcards
1
Q
Lower-Limit Topology (R L)
A
Sets of the form [a,b)
2
Q
K-Topology (R K)
A
Sets of (a,b) as well as (a,b) - K where K is the natural fractions.
3
Q
Subspace Topology
A
UxV where V is the basis of the greater set and U is the subspace.
4
Q
Product Topology
A
At most finitely many (a,b), all other slots filled with the space as a whole
5
Q
Order Topology
A
(a,b), (a, b_0] if there’s a maximum, [a_0, b) if there’s a minimum, all together.
6
Q
Metric Topology
A
Bd(x, epsilon)
7
Q
Order Topology
A
8
Q
Cofinite Topology
A
Sets whose complements are finite
9
Q
Discrete Topology
A
Every set is in the topology
10
Q
Indiscrete Topology
A
Only empty and full
