FACULTY OF SCIENCE / MATHEMATICS / MAT4018 - ALGEBRAIC TOPOLOGY II

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1on the concept of homotopy and homotopy theorems[1] p. 81-83
2homotopy type[1] p. 83-86
3curves, the main group and homotopy groups[1] p. 86-101
4linear subspaces of Euclidean space[1] p. 101-103
5simplex [1] p. 103-105
6simplexcial complexes,touching, examples of triangulation and triangulation[1] p. 105-113
7finite viviparous Abelian groups[1] p. 113-120
8directing Simplexes[1] p.
9chains, Borders and cycle[1] p. 120-122
10homology groups[1] p. 122-126
11Betti numbers[1] p. 126-127
12chains on an arbitrary Abelian group[1] p. 127-130
13cohomology groups,calculation of homology groups[1] p. 130-135
14sustainability of these definitions and concepts[1] p.