# Homotopy Type Theory Synthetic homotopy theory (Rev #15)

## 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 12, 2018 at 11:02:16 by Ali Caglayan. See the history of this page for a list of all contributions to it.