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Floris van Doorn 2016-03-06 13:23:30 -05:00
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README.md
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@ -28,8 +28,8 @@ Jeremy Avigad, Steve Awodey, Ulrik Buchholtz, Floris van Doorn, Clive Newstead,
- [convergence of spectral sequences](http://ncatlab.org/nlab/show/spectral+sequence#ConvergenceOfSpectralSequences)
### Topology To Do:
- HoTT Book chapter 8
- fiber and cofiber sequences (is this in the library already?)
- HoTT Book sections 8.7, 8.8.
- cofiber sequences
- [prespectra](http://ncatlab.org/nlab/show/spectrum+object) and [spectra](http://ncatlab.org/nlab/show/spectrum), suspension
- [spectrification](http://ncatlab.org/nlab/show/higher+inductive+type#spectrification)
- [parametrized spectra](http://ncatlab.org/nlab/show/parametrized+spectrum), parametrized smash and hom between types and spectra
@ -40,6 +40,7 @@ Jeremy Avigad, Steve Awodey, Ulrik Buchholtz, Floris van Doorn, Clive Newstead,
- exact couple of a tower of spectra
### Already Done:
- pointed types
- definition of algebraic structures such as groups, rings, fields,
- some algebra: quotient, product, free.
- Most things in the HoTT Book up to Section 8.6 (see [this file](https://github.com/leanprover/lean/blob/master/hott/book.md))
- pointed types, maps, homotopies and equivalences
- definition of algebraic structures such as groups, rings, fields
- some algebra: quotient, product, free groups.