MATE 6540   Topology

Time and place

LW 15:30--16:45, in M-301.

Final exam: M-206A, 20/05, 5--8pm.

Topics

Point-set topology: review of topological space, limits and continuity, construction of topological spaces, compactness, limits of functions, numerical functions, connectedness.

Algebraic topology: homotopic paths, fundamental group, induced homomorphism, covering space, index and applications, homotopic maps.

References

"General topology", by Jacques Dixmier, Springer-Verlag, 1984.

"Introduction to Topology", by T.W. Gamelin & R.E. Greene, Dover, 1999.

Evaluation

Based on homework, exams.

Homework updated 16/05.

Last modified: Mon May 18 08:03:23 AST 2015