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6 votes
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Relative cohomology in algebraic topology vs algebraic geometry

There is a notion of relative cohomology in both algebraic topology and algebraic geometry and the flexibility granted by this relative viewpoint is quite powerful in both cases. However, the two ...
Asvin's user avatar
  • 7,746
7 votes
3 answers
915 views

Bounded cohomology motivation

May I ask what is the basic motivation behind studying bounded cohomology? Is there a simple reason why bounded cohomology is more interesting / useful than usual cohomology? Also, is bounded ...
yoyostein's user avatar
  • 1,229
12 votes
6 answers
3k views

applications of Tate-Poitou duality

What are nice applications of Tate-Poitou duality?