##
Lectures on Homological Algebra

The pdf files below are lecture notes from a course on Homological Algebra
which I gave at the University of Western Ontario during
the Fall term of 2009.

The notes are still subject to
change - the indicated dates are last updates.

If you have comments or suggestions about these files, please do not
hesitate to contact me: jardine@uwo.ca.

- Lecture 01:
**Chain complexes, exactness, simplicial sets**
(09/21/09)

- Lecture 02:
**Chain complex homotopy theory, model categories**
(09/28/09)

- Lecture 03:
**Chain homotopy, homotopical algebra**
(09/30/09)

- Lecture 04:
**Torsion products: basic theory**
(10/19/09)

- Lecture 05:
**Tensor product of chain complexes**
(10/30/09)

- Lecture 06:
**Cohomology, injective resolutions, Eilenberg-Cartan resolutions**
(11/09/09)

- Lecture 07:
**Spectral sequences: an introduction**
(11/11/09)

- Lecture 08:
**Dold-Kan correspondence, model structures for simplicial modules**
(11/13/09)

- Lecture 09:
**Homotopy colimits, cosimplicial chain complexes**
(11/25/09)

- Lecture 10:
**Bisimplicial modules, bisimplicial sets, Serre spectral sequence, some calculations**
(11/27/09)

- References
(11/25/09)