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Joseph Van Name

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Name Joseph Van Name
Member for 1 year
Seen 27 mins ago
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Location Nowhere, Antarctica.
Age 23
I like turtles.
4h
accepted Equivalence relations in suplattices
6h
comment totally disconnected and zero-dimensional spaces
Also, you referred to the fact that the quasi-components coincide with the components in any compact Hausdorff space. Why don't you incorporate a proof of this fact into your proof? I think that would be a more substantial than simply showing the easier parts of the proof.
6h
comment totally disconnected and zero-dimensional spaces
I downvoted the answer. The standard definition of a totally disconnected space is a topological space where the components are the one-point sets. I have seen references where spaces where the quasi-components are singletons called totally separated spaces. I therefore suggest calling a space where the quasi-components are singletons totally separated spaces.
8h
answered totally disconnected and zero-dimensional spaces
1d
comment Examples of interesting false proofs
I know for a fact that at least half of the 12 people down voted this answer because they went on my profile and looked for the question with the lowest score just so they can downvote it because they were irritated about a controversial answer that I gave to another question. And I don't see how a pun is an uninteresting example of a false proof yet cancelling out the 6's in 64/16 to get 64/16=4/1=4 is an interesting false proof.
Jun
16
comment Examples of interesting false proofs
It seems like mathematicians are completely and utterly incapable of understanding even the lowest level of humor (i.e. puns).
Jun
16
comment Explicit form of the homeomorphism between $C[0,1]$ and $C[0,1]\setminus 0$
This does not appear to be a homework question unless I am missing something.
Jun
13
answered Nearly all math classes are lecture+problem set based; this seems particularly true at the graduate level. What are some concrete examples of techniques other than the “standard math class” used at the *Graduate* level?
Jun
13
comment on completeness of R_mn, the set of all rational functions of type (m,n)
This question does not seem too trivial to me.
Jun
13
comment Homeomorphisms and disjoint unions
Since one of the spaces that Andy Putman referred to has a lot of legs and shows up in nightmares I think it is safe to call this space a monster!
Jun
13
revised on completeness of R_mn, the set of all rational functions of type (m,n)
Fixed grammar and improved formatting.
Jun
9
awarded  Nice Question
Jun
9
revised Are sums of sequences decidable?
edited tags
Jun
9
asked Are sums of sequences decidable?
Jun
7
answered Defining a topology in the Power Set
Jun
7
revised Defining a topology in the Power Set
I added the general topology tag.
Jun
7
comment Research topics restricted to students at top universities?
I am one of exceptions. I worked in a totally different area than my advisor who was also in a different country every other semester. I turned out fine I guess. I guess that I am one of those independent people.
Jun
5
comment Property of Mrowka
The property of Mrowka is not preserved under surjective images without additional hypothesis. If $X$ is any topological space, and $X_{d}$ is the discrete space with the same underlying set as $X$, then the identity map $X_{d}\rightarrow X$ is continuous and $X_{d}$ satisfies the property of Mrowka, but $X$ may not.
Jun
4
revised an elementary substructure of a natural numbers ultrapower
edited tags
Jun
4
answered an elementary substructure of a natural numbers ultrapower
Jun
3
accepted Uniformities generated by metrics.
Jun
3
answered Uniformities generated by metrics.
Jun
3
accepted When is the support of a Radon measure separable?
Jun
2
comment When is the support of a Radon measure separable?
The product $\sigma$-algebra on $[0,1]^{I}$ contains every Baire set, so since $[0,1]^{I}$ is compact we can extend this Baire measure to a Radon measure on the Borel $\sigma$-algebra in a unique way.
Jun
2
answered Fixed point theorems
Jun
2
answered Equivalence relations in suplattices
Jun
2
revised When is the support of a Radon measure separable?
added 149 characters in body
Jun
2
answered When is the support of a Radon measure separable?
May
28
accepted complete metric space
May
28
answered complete metric space
May
27
awarded  Mortarboard
May
27
awarded  Enlightened
May
27
awarded  Nice Answer
May
27
revised First-order axiomatization of free groups
added 41 characters in body
May
27
accepted First-order axiomatization of free groups
May
27
answered First-order axiomatization of free groups
May
26
revised Embedding Theorem for topological spaces, and in general
edited tags
May
26
answered Embedding Theorem for topological spaces, and in general
May
25
comment What would be some major consequences of the inconsistency of ZFC?
If we find an inconsistency with ZFC, then the apocalypse would happen!!!
May
23
comment Do operations generate well-ordered sets only?
You will need a bit more than being non-decreasing in each variable since $\lfloor Log(x+1)\rfloor$ is non-decreasing in each variable.
May
23
comment Do operations generate well-ordered sets only?
Can't you just take $f(x,y)=\lfloor Log(x+1)\rfloor$?
May
20
revised Importance of separability vs. second-countability
added 131 characters in body
May
19
comment Importance of separability vs. second-countability
Yes. I did mean the size of an ultrapower.
May
19
revised Importance of separability vs. second-countability
deleted 1 characters in body
May
19
revised Importance of separability vs. second-countability
added 231 characters in body
May
19
answered Importance of separability vs. second-countability
May
17
comment Is there any proof that you feel you do not “understand”?
Alexander's subbase lemma can also be proven using ultrafilters.
May
13
accepted Showing a filter with a certain property on the power set of $\mathbb{Z}$ is a one point filter
May
11
comment How long can it take to generate a $\sigma$-algebra?
Ali Enayat. Thanks for the answer. And Miller's book looks interesting, so I will want to look through it some time.
May
11
revised Showing a filter with a certain property on the power set of $\mathbb{Z}$ is a one point filter
added 5617 characters in body