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