The course will be taught with a virtual whiteboard (using a Tablet PC). The whiteboards for Fundamental groups and Homology are posted here in PDF format.
Note: The whiteboard files are in Landscape mode. Please ensure that the setting is in this mode when printing and rotate while viewing.
The
fundamental group: Homotopy of maps,
multiplication of paths,
the fundamental group, induced homomorphisms, the
fundamental group
of the circle, covering spaces,
lifting theorems, the universal
covering space,
Seifert-Van Kampen theorem, applications.
Simplicial Complexes, Simplicial and Singular homology -
Definitions,
Properties and Applications.
Greenberg, M. J., Lectures on Algebraic Topology. W. A. Bejamin Inc., London, 1973.
Munkres, J. R., Elements of Algebraic Topology, Addison-Wesley, 1984.
Spanier, E. H., Algebraic Topology, tata McGraw-Hill, 1966