- Lecturer Paul Biran
- Coordinator Patricia Dietzsch

The lectures will take place

The lectures will be recorded. The recording is available
here ,
with the following login data

login: bir-22s

password: 6P8q8yH

This is a continuation course to Algebraic Topology I . The course will cover more advanced topics in algebraic topology including:

As a reference, you can access the recordings of Algebraic Topology 1+2 from the previous academic year.

Algebraic topology 2 - FS21: (videos and lecture notes)

password: atop2FS21

File name structure:

Notes (raw): atop2.2021.MM.DD.RAW##.pdf

Notes (enhanced): atop2.2021.MM.DD.N##.pdf

Video: atop2.2021.MM.DD.V##.mp4

MM=month, DD=day, ## is a running number (usually 01).

* Not all lectures have an enhanced version.

Algebraic topology 1 - HS20: (videos and lecture notes)

password: atop1HS20

File name structure (similar to algebraic topology 2):

Notes (raw): atop1.2020.MM.DD.RAW##.pdf

Notes (enhanced): atop1.2020.MM.DD.N##.pdf

Video: atop1.2020.MM.DD.V##.mp4

MM=month, DD=day, ## is a running number (usually 01).

* Not all lectures have an enhanced version.

You should know the basics of point-set topology and the content of the course
Algebraic Topology I .

Some knowledge of differential geometry and differential topology is useful but not necessary.

Some (elementary) group theory and algebra will also be needed.

If you have any questions concerning the exercises, please don't hesitate to contact Patricia Dietzsch. You can contact her by email, or come to HG FO 28.7 on Wednesdays from 12:15-13:15 to ask questions.

Exercise sheet | Solutions |
---|---|

Exercise sheet 1
A good preparation if you would like to remind yourself some relevant material on tensor products: Exercise sheet on tensor products |
Solutions 1
Solutions for the tensor product exercises |

Exercise sheet 2 | Solutions 2 |

Exercise sheet 3 | Solutions 3 |

Exercise sheet 4 | Solutions 4 |

- G. Bredon, "Topology and geometry", Graduate Texts in Mathematics, 139. Springer-Verlag, 1997. (Through the ETH Zurich network members of ETH can legally download this and other ebooks.)
- A. Hatcher, "Algebraic topology", Cambridge University Press, Cambridge, 2002. See also: A. Hatcher.
- E. Spanier, "Algebraic topology", Springer-Verlag