Fodor's lemma: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>EmausBot
m Bot: Migrating 1 interwiki links, now provided by Wikidata on d:Q1119050
No edit summary
 
Line 1: Line 1:
'''Diagonal intersection''' is a term used in [[mathematics]], especially in [[set theory]].
Last week I woke up and realized - Today I've been solitary for a while and after much intimidation from buddies I now locate myself opted for web dating. They guaranteed me that there are lots of entertaining, sweet and ordinary people to meet, so  [http://lukebryantickets.pyhgy.com upcoming luke bryan concerts] the pitch is gone by here!<br>My pals and family are awesome and spending time together at bar gigabytes or dishes is always critical. As I see you can not get a decent dialog against the noise I have never been in to  [http://lukebryantickets.iczmpbangladesh.org Meet and greet Luke bryan tickets] nightclubs. I additionally got two very cute and undoubtedly cheeky dogs that are consistently excited to meet new folks.<br>I endeavor to keep as physically fit as possible coming to the gymnasium several times per  [http://www.banburycrossonline.com tickets for luke bryan] week. I enjoy my sports and endeavor to play or watch since many a possible. Being [http://Www.Google.com/search?q=winter+I&btnI=lucky winter I] shall often at Hawthorn matches. Note: I've noticed the [http://www.Bing.com/search?q=carnage&form=MSNNWS&mkt=en-us&pq=carnage carnage] of fumbling matches at stocktake sales, If you really considered shopping a sport I do not brain.<br><br>Here is my web-site: [http://www.museodecarruajes.org front row tickets]
 
If <math>\displaystyle\delta</math> is an [[ordinal number]] and <math>\displaystyle\langle X_\alpha \mid \alpha<\delta\rangle</math>
is a [[sequence]] of subsets of <math>\displaystyle\delta</math>, then the ''diagonal intersection'', denoted by
 
:<math>\displaystyle\Delta_{\alpha<\delta} X_\alpha,</math>
 
is defined to be
 
:<math>\displaystyle\{\beta<\delta\mid\beta\in \bigcap_{\alpha<\beta} X_\alpha\}.</math>
 
That is, an [[ordinal number|ordinal]] <math>\displaystyle\beta</math> is in the diagonal intersection <math>\displaystyle\Delta_{\alpha<\delta} X_\alpha</math> if and only if it is contained in the first <math>\displaystyle\beta</math> members of the sequence. This is the same as
 
:<math>\displaystyle\bigcap_{\alpha < \delta} ( [0, \alpha] \cup X_\alpha ),</math>
 
where the closed interval from 0 to <math>\displaystyle\alpha</math> is used to
avoid restricting the range of the intersection.
 
==See also==
*[[Fodor's lemma]]
*[[Club set]]
*[[Club filter]]
 
==References==
* Thomas Jech, ''Set Theory'', The Third Millennium Edition, Springer-Verlag Berlin Heidelberg New York, 2003, page 92.
* Akihiro Kanamori, ''The Higher Infinite'', Second Edition, Springer-Verlag Berlin Heidelberg, 2009, page 2.
 
{{PlanetMath attribution|id=3233|title=diagonal intersection}}
 
[[Category:Set theory]]
[[Category:Ordinal numbers]]
 
{{mathlogic-stub}}

Latest revision as of 15:46, 9 December 2014

Last week I woke up and realized - Today I've been solitary for a while and after much intimidation from buddies I now locate myself opted for web dating. They guaranteed me that there are lots of entertaining, sweet and ordinary people to meet, so upcoming luke bryan concerts the pitch is gone by here!
My pals and family are awesome and spending time together at bar gigabytes or dishes is always critical. As I see you can not get a decent dialog against the noise I have never been in to Meet and greet Luke bryan tickets nightclubs. I additionally got two very cute and undoubtedly cheeky dogs that are consistently excited to meet new folks.
I endeavor to keep as physically fit as possible coming to the gymnasium several times per tickets for luke bryan week. I enjoy my sports and endeavor to play or watch since many a possible. Being winter I shall often at Hawthorn matches. Note: I've noticed the carnage of fumbling matches at stocktake sales, If you really considered shopping a sport I do not brain.

Here is my web-site: front row tickets

Retrieved from "https://en.formulasearchengine.com/index.php?title=Fodor%27s_lemma&oldid=239447"