User talk:Stca74

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[edit] Mathematics CotW

Hey Stca, I am writing you to let you know that the Mathematics Collaboration of the week(soon to "of the month") is getting an overhaul of sorts and I would encourage you to participate in whatever way you can, i.e. nominate an article, contribute to an article, or sign up to be part of the project. Any help would be greatly appreciated, thanks--Cronholm144 00:13, 14 May 2007 (UTC)

[edit] Hello

I thought say hello, and thank you for your interesting comments at WT:WPM, even if we are not entirely in agreement. Actually, I was prompted to stop by because I saw your comment at User talk:Edgerck on the cross product. I was about to make precisely the same point, but wouldn't have done it nearly as well as you did: your comment about the product of real numbers being a pseudoreal was particularly nice! I hope you continue to enjoy it here. Geometry guy 14:40, 22 May 2007 (UTC)

Hello, and thanks for the compliments. I do quite enjoy it here, yes. Let's see, however, for how much longer I manage to have this luxury of some spare time to devote to Wikipedia. In any case, plans for what to do here keep accumulating like unread novels at my bedside... As you've seen in my comments elsewhere, I've become convinced that Wikipedia's coverage of quite a few (if not all) areas of maths require more top-down planning and structure: we have now too many gaps and overlaps as well as seriously uneven coverage due to (often very good) individual articles springing up on random topics based on authors' impulses to write them up. I've started to work on a plan on how the needed reorganisation could look like for algebraic topology (I thought about algebraic geometry first as a topic closer to my own turf but came to the conclusion that editorial complications there are harder and that topology should work as a test case). I've been planning to post a note to the Wikipedia talk :WikiProject Mathematics page with link to the outline once I get it done. If you wish, feel free to have a look at a work in progress and comment — the page is here. Stca74 17:50, 22 May 2007 (UTC)

[edit] FLT

Do you have any comments on Fermat's last theorem. I put it up for A-Class review. It seems that it needs expert help! Geometry guy 21:34, 12 June 2007 (UTC)

Not exactly my expertise (the modular form side of things is not one of my strengths...), but I'll see what I can do. Maybe start adding the structure to the description of the proof. However, this will not likely happen over the next few days. Stca74 18:05, 14 June 2007 (UTC)
Anything you can do will be much appreciated! Geometry guy 19:22, 14 June 2007 (UTC)

[edit] Heian Palace

First of all, congratulations on your GA on this article. This is a very nice piece of work, that should easily go through FAC. However, as it was pointed at GA/R, you will definitely need the page numbers for that. If you do have the book but don't have time to find the exact place, you might try through Google Books, as in this example: by using the research thingy, you can find that buraken is talked about in page 713. I hope this can help you in building other great articles on very interesting subjects.

Sincerely, --SidiLemine 18:33, 16 July 2007 (UTC)

Thanks for kind words and the encouragement to push the article towards FA. I agree with the page number point for FA articles, and will put those in order. As for Google Books, I think that's an excellent advice. Indeed, that's the source I used to locate a few of the references in books read but not at hand.
Regards, Stca74 08:30, 18 July 2007 (UTC)

[edit] WikiProject Japan taskforces

In order to encourage more participation, and to help people find a specific area in which they are more able to help out, we have organized taskforces at WikiProject Japan. Please visit the Participants page and update the list with the taskforces in which you wish to participate. Links to all the taskforces are found at the top of the list of participants.

Please let me know if you have any questions, and thank you for helping out! ···日本穣? · Talk to Nihonjoe 02:06, 8 August 2007 (UTC)

[edit] Heian Palace

Hi Stca74, and congratulations on bringing Heian Palace to Featured Article status. It's remarkable that the article is so purely the work of one person. Again, congratulations! Fg2 06:07, 25 September 2007 (UTC)

Hi, Fg2, and thanks for the kind remarks! This one started in May with the modest intention of creating a stub for the old palace, but grew quite quickly... The motivation was first just to correct a few statements made in the article on Kyoto Gosho, which made it appear that the current palace dates from the Heian period. It seems that some topics are sufficiently esoteric that it is at the same time possible and necessary to work on your own on them — the same appears to be happening with some more technical maths articles like Fibred category that I'm editing at the moment. But while edits may be mostly mine in Heian Palace, it certainly would be much worse without the comments received in Peer Review, the GA process and now in FA process. Despite some moderately excessive requests at times, the Wikipedia collaboration model appears to work nicely. Stca74 10:53, 25 September 2007 (UTC)

[edit] Limit superior and limit inferior

The general definitions in Limit superior and limit inferior for the limits superior and inferior of sets and filter bases look too general to me. In particular, they impose no conditions whatsoever on the relationship between the topology of the space involved and its partial ordering. Without some sort of order compatibility, the limits defined don't seem particularly meaningful. Also, for the set definition, the article suggests ambiguously that the ordering should be a complete lattice, which may be too restrictive as it still makes sense to talk about limits superior and inferior even in contexts where they are not guaranteed to exist. Do you know the most common definitions for these terms? If so, could you make sure the article matches them? Dfeuer (talk) 20:46, 30 December 2007 (UTC)

In fact the whole article seems to be a bit of a mess. The section on sequences of real numbers contains way too much secondary trivia, lim inf and lim sup of real-valued functions is not even defined, the metric space (why metric?) definition does not impose any order structure on the codomain and the definitions do not even make sense,...
As for the definition for filters, first of all the most important definitions, those of lim inf and lim sup of a real-valued function with respect to a filter (base) are missing. And you're right, to have a meaningful theory one should link the topology and order structure together - a natural way would be to require that the topology be the order topology (generated by open intervals) specified by the order structure, which one would assume to be a linearly ordered complete lattice (the latter being equivalent to the topological space being compact). Then lim inf and lim sup of a filter as well as of a function with values in such ordered topological space with respect to a filter would behave as expected. Whether it makes sense for some purposes to consider more general order structures I do not know.
Given that there has apparently been quite some heated argumentation on the talk page, and given the amount of work the page would need, I'm somewhat hesitant to jump into editing it. I could do some expansion and fixing around filters, though (seems that by staying way from the usual undergrad curriculum one avoids most useless edit wars...). Stca74 (talk) 11:05, 31 December 2007 (UTC)
I completely forgot to watch for a response here. I'm sorry about that. I'm not yet convinced that the space should be required to be a complete lattice, although requiring it to be bounded-complete is likely sensible. Of course, the big question is how this actually is defined by working mathematicians, which is something I don't know. The same goes for what sort of order is required. Requiring the order topology certainly works, but it's conceivable that a weaker condition would suffice to give interesting results. One possibility might be requiring that for each subset X with an upper bound, \sup X \in \overline X, or something vaguely like that.Dfeuer (talk) 03:18, 10 January 2008 (UTC)

[edit] unrelated to wikipedia

Hello, you seem like someone who's interested in sharing your knowledge. I see you have a PhD in alg. geom. and work in the financial sector. I may soon be completing mine, studying 4-manifolds. I had some questions about your vocational experiences. If you're curious or willing to talk to me could you send me an email - jwilliam at math . utexas . edu? Orthografer (talk) 01:38, 4 April 2008 (UTC)