Paul

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Grad student at Carnegie Mellon University.


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May
15
 comment Is $X$ pseudocompact
@Paul, as written conditions (1) and (2) are contradictory. (Assuming (1), take $H = H_0$ in (2).) Did you mean to have the roles of $\alpha$ and $\beta$ switched in (1)?
Apr
29
 comment characters of a $C^*$-algebra
This is great, thanks Martin!
Apr
29
 accepted characters of a $C^*$-algebra
Apr
26
 comment $f: \mathbb{R}^2 \to \mathbb{R}$ a continuous open map, show that for each $x \in \text{range}(f)$, $f^{-1}(x)$ is always uncountable.
@TMM: Okay, I'll remember that in the future.
Apr
26
 revised $f: \mathbb{R}^2 \to \mathbb{R}$ a continuous open map, show that for each $x \in \text{range}(f)$, $f^{-1}(x)$ is always uncountable.
corrected the dependence of g_a on a.
Apr
26
 comment $f: \mathbb{R}^2 \to \mathbb{R}$ a continuous open map, show that for each $x \in \text{range}(f)$, $f^{-1}(x)$ is always uncountable.
I've supplied the edit.
Apr
26
 suggested suggested edit on $f: \mathbb{R}^2 \to \mathbb{R}$ a continuous open map, show that for each $x \in \text{range}(f)$, $f^{-1}(x)$ is always uncountable.
Apr
26
 comment $f: \mathbb{R}^2 \to \mathbb{R}$ a continuous open map, show that for each $x \in \text{range}(f)$, $f^{-1}(x)$ is always uncountable.
Hagen, I don't see the dependence of $g_a$ on $a$. Is there a typo in your definition?
Apr
25
 awarded  Commentator
Apr
25
 comment Restrictions of null/meager ideal
You should post this on MO, if you haven't already.
Apr
25
 asked characters of a $C^*$-algebra
Apr
3
 awarded  Tumbleweed
Mar
27
 revised A map that is $(n-1)$-positive but not $n$-positive
added 56 characters in body
Mar
27
 comment Are all large cardinal axioms expressible in terms of elementary embeddings?
Yes, my answer was based on a more literal interpretation of the OP's question; "is every large cardinal the critical point of an elementary embedding?"
Mar
27
 asked A map that is $(n-1)$-positive but not $n$-positive
Mar
27
 answered Are all large cardinal axioms expressible in terms of elementary embeddings?
Mar
26
 comment When is a $*$-homomorphism between multiplier algebras strictly continuous?
Thanks to Martin Sleziak for prompting me to add the answer here.
Mar
26
 revised When is a $*$-homomorphism between multiplier algebras strictly continuous?
Added an answer to the last question. Possibly more to come later.
Mar
13
 comment Subset of a P-ideal need not be a P-ideal
@Martin; perhaps it's not so easy. I've added an explanation of the construction.
Mar
13
 revised Subset of a P-ideal need not be a P-ideal
Added some explanation.
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