# What do u need to learn topology?

1. Nov 4, 2005

### michealsmith

wat do u need to learn topology?

2. Nov 4, 2005

### Fe-56

time............. :-))

3. Nov 4, 2005

Familiarity with analysis, and some algebra would help too...

4. Nov 4, 2005

### matt grime

what do you need to learn anything?

in this case you need to be not scared when I say the following:

If X is a set, then a topology on X is a collection of subsets T in P(X) (the power set) satisfying the following axioms:

X is in T, the empty set is in T, the union of arbitrarily many elements of T is an element of T, and the finite intersection of elements of T is an element of T.

That is exactly what a topology of open sets on X is.

Examples: the trivial topology: T is the empty set and X alone

The cofinite topology, T contains the empty set, X and precisely those subsets of X whose complements are finite.

If X is a metric space then the open sets in the metric are a topology.

If any or all of that is too daunting then learn some more set theory and analysis

Last edited: Nov 4, 2005
5. Nov 4, 2005

### NateTG

Basic set theory and algebra -- that's about it. Depending on how the course is taught, other stuff will definitely be handy, but not actually essential. That said, a lot of topology will make more sense if you have exposure to concepts from analysis.