econyun

08-25-2007, 11:26 PM

Hello all,

I am still thinking what courses I should take in the coming semester:

There is no topology course in my school except the graduated one which requires Abstract Algebra 4. So I gave it up.

However we have a course ' independent study'.

We can take this class with the prof only if our school does not offer that course.

As known, it s good to take topology for phd application.

And as I said we dont have it for undergraduate students.

When I checked what topology today..I found...

Topology (Greek (http://en.wikipedia.org/wiki/Greek_language) topos, "place," and logos, "study") is a branch of mathematics (http://en.wikipedia.org/wiki/Mathematics) that is an extension of geometry (http://en.wikipedia.org/wiki/Geometry). Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory (http://en.wikipedia.org/wiki/Set_theory), considering both sets of points and families of sets.

Ours school offers set theory.

So should I take set theory or ask the department if I can take the independent study for Topology?

For your reference, here is the description of the course: set theory at my school:

Axioms of set theory. Operations on sets. Ordinal and cardinal numbers. Well-orderings, transfinite induction and recursion. Consequences of the axiom of choice. Boolean algebras. Cardinal arithmetic.

What should I do?:hmm::hmm::hmm::hmm::hmm:

I am still thinking what courses I should take in the coming semester:

There is no topology course in my school except the graduated one which requires Abstract Algebra 4. So I gave it up.

However we have a course ' independent study'.

We can take this class with the prof only if our school does not offer that course.

As known, it s good to take topology for phd application.

And as I said we dont have it for undergraduate students.

When I checked what topology today..I found...

Topology (Greek (http://en.wikipedia.org/wiki/Greek_language) topos, "place," and logos, "study") is a branch of mathematics (http://en.wikipedia.org/wiki/Mathematics) that is an extension of geometry (http://en.wikipedia.org/wiki/Geometry). Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory (http://en.wikipedia.org/wiki/Set_theory), considering both sets of points and families of sets.

Ours school offers set theory.

So should I take set theory or ask the department if I can take the independent study for Topology?

For your reference, here is the description of the course: set theory at my school:

Axioms of set theory. Operations on sets. Ordinal and cardinal numbers. Well-orderings, transfinite induction and recursion. Consequences of the axiom of choice. Boolean algebras. Cardinal arithmetic.

What should I do?:hmm::hmm::hmm::hmm::hmm: