Homotopy Type Theory Synthetic homotopy theory (Rev #16, changes)

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Basic notions

• Higher inductive types
• Type families $P : A \to \mathcal{U}$ and fibrations $P(\star_A ) \to \sum_{(a:A)}P(a) \to A$

Constructions and concepts

Fibrations

• Hopf construction: H-space on $A$ gives fibration $A \to A * A \to \Sigma A$

Misc.

I would like to include some articles about spectra here. This would probably absorb homological algeba. Floris van Doorn’s thesis should be a good start.

• Ali

Useful references

Revision on October 17, 2018 at 09:40:20 by Ali Caglayan. See the history of this page for a list of all contributions to it.