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Results tagged with field-with-one-element
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user 100
This tag refers to the (non-existent) "field of one element".
10
votes
K(F_1) = sphere spectrum?
Here is another heuristic, related to what Randal-Williams said above. The sphere spectrum is the unit object in nice categories of spectra. That is, ring spectra are algebras over the sphere spectrum …
- 5,062
10
votes
What is the field with one element?
One of the many resources pointed out above linked to the unpublished preprint by Kapranov and Smirnov called Cohomology determinants and reciprocity laws: the number field case. It's posted page by p …
- 5,062
108
votes
7
answers
21k
views
What is the field with one element?
I've heard of this many times, but I don't know anything about it.
What I do know is that it is supposed to solve the problem of the fact that the final object in the category of schemes is one-dimen …
- 5,062