Difference between revisions of "User:Alec"

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* [[Site projects:Measure theory plan]] - implementation of plan.
 
* [[Site projects:Measure theory plan]] - implementation of plan.
 
* [[Site projects:Split set theory into elementary set theory]] - some things classified as "set theory" (like [[set subtraction]]) would be best classified as "elementary set theory". This project endeavorers to do that.
 
* [[Site projects:Split set theory into elementary set theory]] - some things classified as "set theory" (like [[set subtraction]]) would be best classified as "elementary set theory". This project endeavorers to do that.
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 +
==Notes==
 +
Diagram for [[Characteristic property of the product topology]]:
 +
{| class="wikitable" border="1"
 +
|-
 +
|<center><span style="font-size:1.2em;"><m>\begin{xy}
 +
\xymatrix{
 +
& & \prod_{\alpha\in I}X_\alpha \ar[dd]^{\pi_b} \\
 +
& & \\
 +
Y \ar[uurr]^f \ar[rr]^{f_b} & & X_b
 +
\save
 +
(8.125,6.5)+"3,3"*+{X_a}="x1";
 +
(-8.125,-6.5)+"3,3"*+{X_c}="x3";
 +
 +
\ar@{->}^{\pi_a}|(.62){\hole} "x1"; "1,3";
 +
\ar@{->}_{\pi_c} "x3"; "1,3";
 +
\ar@{->}^-{f_a}|(.873){\hole} "x1"+<-0.9ex,0.3ex>; "3,1";
 +
\ar@{->}_{f_c} "x3"; "3,1";
 +
\restore
 +
 +
}
 +
 +
 +
\end{xy}</m></span></center>
 +
|-
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! Diagram
 +
|}

Revision as of 01:49, 4 May 2016

Hi, I'm the admin of this site and creator of most of the content. Write a note on my talk page for requests!

Noticeboard

As of Monday, 14/Apr/2025 at 15:10:

Watchdogs

Things not to forget

Pages being worked on

Current projects

Currently ensuring that all existing measure theory articles are "up to a decent standard" and working on Measure Theory, following Halmos' example (rings).

Notes

Diagram for Characteristic property of the product topology:

\begin{xy} \xymatrix{ & & \prod_{\alpha\in I}X_\alpha \ar[dd]^{\pi_b} \\ & & \\ Y \ar[uurr]^f \ar[rr]^{f_b} & & X_b \save (8.125,6.5)+"3,3"*+{X_a}="x1"; (-8.125,-6.5)+"3,3"*+{X_c}="x3"; \ar@{->}^{\pi_a}|(.62){\hole} "x1"; "1,3"; \ar@{->}_{\pi_c} "x3"; "1,3"; \ar@{->}^-{f_a}|(.873){\hole} "x1"+<-0.9ex,0.3ex>; "3,1"; \ar@{->}_{f_c} "x3"; "3,1"; \restore } \end{xy}
Diagram
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