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Jun
23
awarded  Necromancer
Jun
10
comment Continuity of a function $f: \mathbb{R}^2 \to \mathbb{R}$
Is this the integral of a function? If so then it is obviously continuous by the FTC
Jun
8
revised Notation from Bowen's Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
added 12 characters in body
Jun
3
revised Why study Bergman Spaces?
edited tags
Jun
3
comment Why study Bergman Spaces?
Seems like Leo Sera (who edited this post) added the tag, I don't see many things on bergman spaces... however that may change in time. I'd just leave it as is and I'll take down another tag.
May
29
accepted “Least upper bound property for a poset is equivalent to greatest lower bound property” vs existence of sup given inf
May
29
comment “Least upper bound property for a poset is equivalent to greatest lower bound property” vs existence of sup given inf
Yes, $(A,\le)$ is my poset. Because the inf always exists then $\inf(\emptyset)\in A$, and if there were another element, say $x$, greater than all elements of $A$ the above argument would also show that it's less than or equal to $\inf(\emptyset)$ hence equal to $\inf(\emptyset)$. I guess working with the empty set is a little weird, I'm actually surprised there was nothing wrong with the homework.
May
29
comment “Least upper bound property for a poset is equivalent to greatest lower bound property” vs existence of sup given inf
Yes, but I was a little confused by it. I'm assuming that if the set of least upper bounds for a subset $S$ is empty then inf($\emptyset)=\sup(A)$ and this is an upper bound for $S$, contradicting that the set of upper bounds is empty. It just doesn't quite feel right, I realize $\emptyset\subset A$ and so $\inf(\emptyset)$ exists by our assumption, but I suppose I don't see why $\sup(A)$ exists, if it exists then I believe they are equal.
May
29
comment “Least upper bound property for a poset is equivalent to greatest lower bound property” vs existence of sup given inf
Yes, I agree. My point is this: I think the intent was to ask us to show the equivalence of lub and glb properties.
May
29
asked “Least upper bound property for a poset is equivalent to greatest lower bound property” vs existence of sup given inf
May
26
revised Does every noninvertible element of a commutative ring lie in a proper maximal ideal?
deleted 12 characters in body
May
15
comment Question on von Neumann integers and power set
In response to your final sentence: Yeah, definitely an open ended question... so I almost didn't ask it.
May
15
asked Question on von Neumann integers and power set
May
12
revised Notation from Bowen's Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
deleted 29 characters in body
May
12
comment Notation from Bowen's Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
Actually the bar on top of $V$ should go under it in both cases... I just don't know the LaTeX for this.
May
12
asked Notation from Bowen's Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
May
5
awarded  Popular Question
May
1
comment When two projections in a C*-algebra are “almost” Murray-von Neumann equivalent, they are equivalent
What do you mean by "almost" m-vN equivalent?
May
1
reviewed Looks OK What is the power series for the function $\ln(1+x^3)$?
Apr
23
comment Algebraic number theory topics for undergrads
Sure.... sure. I thought that you meant you want them to include the study of elliptic curves and other deep results from algebra that only specialists know