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SpectralSequences :: Examples of filtered complexes and spectral sequences

Examples of filtered complexes and spectral sequences -- How to use this package

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

Balancing Tor

Spectral sequences and hypercohomology calculations

Spectral sequences and connecting morphisms

Spectral sequences and non-Koszul syzygies

Seeing Cancellations

A spectral sequence which fails to degenerate quickly

Edge homomorphisms

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