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Vi gjennomg?r oppgaver og diskuterer eit sp?rsm?l fra pensum tirsdag 22/5 og mandag 28/5. Forbered dere til ? presentere l?sningene p? tavla.

1.1: 2, 3, 5, 7

2.1: 1, 3, 4, 16, 17, 28

2.2: 20, 21, 22, 23, 24, 32

3.1: 6

3.2: 6, 17

Eksamensrelevant pensum fra Hatcher: 

1.1,1.3, 2.1, 2.2, 3.1, 3.2 (bare "The Cohomology Ring"), 3.3 (bortsett fra "Other Forms of Duality")

No lecture Tuesday May 8. Instead study pp 249-252 in book on your own, in particular Example 3.41 (on lens spaces) and prepare a presentation of this material for the lecture on Monday May 14.

Write a detailed computation of the homology of lens spaces based on the exposition in the book. Include all definitions, write down the theorems you use and give details of all computations. Make sure you understand everything you write yourself!

Finish with applying this to all lens spaces (up to homeomorphism) of dimension 3 which are quotients by the cyclic group of order 5.

Deadline: Thursday April 12 (but you may deliver directly to me as soon as you are done.)

We will have a lecture, same time as usual but different location:

GS Grupperom 1 - which is in the main University Library (Georg Sverdrups hus).

We will use

Allen Hatcher: Algebraic Topology, 2002. Cambridge University Press. ISBN: 0-521-79540-0.

The book can be downloaded from here