Introduction to Computational Homology and Co-Homology

Alexandra Bac (LIS)

This session will focus on computational homology and co-homology.

During this first talk, we will briefly recall homology and co-homology definition (and insist on intuitions behind them), as well as "persistent homology" definition. We will consider examples and describe the objects handled by homology and co-homology: (discrete) geometric complexes (simplicial, cubical, cellular, CW-complexes) and algebraic chain complexes.