Here is a list of some examples which illustrate various parts of this package.
First examples which show how to use this package
• How to make filtered complexes from chain complex maps
• Filtrations and tensor product complexes
• Filtrations and homomorphism complexes
• Filtered complexes and simplicial complexes
• I-adic filtrations of chain complexes and their spectral sequences
More elaborate examples which illustrate this package
• Computing the Serre Spectral Sequence associated to a Hopf Fibration
• Spectral sequences and hypercohomology calculations
• Spectral sequences and connecting morphisms
• Spectral sequences and non-Koszul syzygies
• A spectral sequence which fails to degenerate quickly
• Examples of change of rings Spectral Sequences
More easy topological examples
• Identifying anti-podal points of the two sphere
• The fibration of the Klein Bottle over the sphere with fibers the sphere
• The trivial fibration over the sphere with fibers the sphere