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Spice the Bird

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Name Spice the Bird
Member for 2 years
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Location Somewhere
Age 28
zzinbiel@aol.com
Jun
4
comment Nonexistence of boundary between convergent and divergent series?
We could define the topology to consist of the set of all sequences, the empty set, the set of such that the associated series converges, and the series where the set the associated series diverge. With this topology, their is a well defined boundary which is the empty set. Not that this helps.
Apr
30
comment Still Difficult After All These Years
Doron Zeilberger' opinion 90 seems relevant math.rutgers.edu/~zeilberg/Opinion90.html
Apr
15
comment What is “Data” involved in a mathematical construction?
Data tends to be some kind of n-tuple. For instance a group, $G$ is a triple, $(S,,e)$ such that *conditions hold. The "set" of data is a bit like a "subset" of some product of "sets". A construction then is like a function from this product to some other "set".
Apr
6
awarded  Yearling
Mar
22
comment Connections between topos theory and topology
No problem.:)))
Mar
22
comment Connections between topos theory and topology
Do you mean to say "Suppose you want to embed some (essentially small) category \textit{of} spaces ect.", or is "category spaces" possibly a definition that I am not familiar with?
Mar
7
comment A question on composites of pushforward and pullback
Could you say what $PD_X,PD_Y$ are?
Jan
30
comment What is an intuitive view of adjoints? (version 1: category theory)
This intuition is the intuition behind Freyd's adjoint functor theorem.
Jan
28
answered Are integers real?
Jan
9
comment Why the preimage rather than image in Stone-type dualities.
Also the preimage operator preserves union and intersection whereas the image operator does not.
Jan
9
comment Why the preimage rather than image in Stone-type dualities.
One thing to realize is that the power set functor is a functor from sets to the opposite category of sets.
Jan
3
comment Can we categorify the formula for the quadratic Gauss sum?
The paper, "arxiv.org/abs/math.CT/0212377"; makes precise and proves the following principle, "if an arithmetic statement about the objects can be proved by pretending that they are complex numbers, then there also exists an honest proof".
Jan
1
comment Math Zeitgeist 2012
Maybe put this on meta?
Dec
24
revised Video lectures of mathematics courses available online for free
added 32 characters in body
Dec
24
revised Maximal compact subgroups for locally profinite groups and generalization
edited tags
Dec
22
comment Link of a vertex of a 3-orbifold (link orbifold)
I am not sure that the Orbifold has to be good. It seems that it only has to be "locally good" in which case, we could take the local universal cover and apply the same recipe as in the answer.