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16 votes
1 answer
168 views

What is the "higher cohomology" version of the Eudoxus reals?

The "Eudoxus reals" are one way to construct $\mathbb{R}$ directly from the integers. A full account is given by Arthan; here is the short version: A function $f: \mathbb{Z} \to \mathbb{Z}$ ...
user263190's user avatar
  • 1,247
0 votes
1 answer
59 views

$H_q(X) = 0$ if $X \subset \mathbb{R}^n$

Is it true that if $X \subset \mathbb{R}^n$ then $H_q(X) = 0$ if $q \geq n$. I have this statement (unproved) in my algebraic topology notes and I'd like to know whether this is true just for the sake ...
jacopoburelli's user avatar