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Results tagged with ag.algebraic-geometry
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user 3634
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
7
votes
Spaces that are both homotopically and cohomologically finite
Yes to Fix #2.
A space with finitely many homotopy groups, all finite, is in the Bousfield class generated by the Eilenberg-MacLane spaces for those groups in those dimensions. The Sullivan Conjectur …
- 12.5k
4
votes
Examples where it's useful to know that a mathematical object belongs to some family of objects
I've written a paper (or two) about collection $\mathcal{R}$ of all pointed topological spaces $Y$ satisfying the
property $\mathrm{map}_*(X,Y) \sim *$ (for fixed $X$). The interesting fact is that
…
2
votes
Topological Complexity $TC$ of two robots moving on number $8$
If I understand your question properly, you're asking for the minimum number of open subsets of a wedge of seven circles such that you have unambiguous planning to get from point to point in each subs …
- 12.5k
13
votes
2
answers
3k
views
Left and right eigenvalues
A quaternionic matrix $A$ gives rise to a
function $\mathbb{H}^n \to \mathbb{H}^n$
given by $x \mapsto A \cdot x$. This is real linear,
but not complex- or quaternionic-linear
(in general) if we co …
- 12.5k