At the end of this course the student will know
- the basic concepts about homotopy and homotopy type, fundamental group and covering spaces to use in his/her research and in other other areas like differential geometry, differential topology, geometric topology, algebraic geometry, physics etc.
- the basic concepts about Delta-Complexes and their simplicial homology groups to use in his/her research or in other related areas.
- the basic concepts about singular homology groups and some of their applications to use in his/her research or in other related areas.
- the techniques to compute the fundamental groups, simplicial and singular homology groups of of some well known spaces and various cell complexes.