http://hyperspacewiki.org/index.php?title=Inverse_limit&feed=atom&action=history Inverse limit - Revision history 2022-05-16T08:35:25Z Revision history for this page on the wiki MediaWiki 1.30.1 http://hyperspacewiki.org/index.php?title=Inverse_limit&diff=32&oldid=prev Tom: Created page with "Suppose that $I_n=[a_n,b_n]$ is a sequence of intervals and for each positive integer $n$ there is a function $f_n \colon I_{n+1} \rightarrow I_n$. Let $\vec{f}=(f_1,f_2,\ldot..." 2014-08-27T16:46:14Z <p>Created page with &quot;Suppose that$I_n=[a_n,b_n]$is a sequence of intervals and for each positive integer$n$there is a function$f_n \colon I_{n+1} \rightarrow I_n$. Let$\vec{f}=(f_1,f_2,\ldot...&quot;</p> <p><b>New page</b></p><div>Suppose that $I_n=[a_n,b_n]$ is a sequence of intervals and for each positive integer $n$ there is a function $f_n \colon I_{n+1} \rightarrow I_n$. Let $\vec{f}=(f_1,f_2,\ldots)$. We define the ''inverse limit'' $\varprojlim \vec{f}$ to be the set of all sequences $\vec{x}=(x_1,x_2,\ldots)$ with the property that $x_i = f_i(x_{i+1})$ for each positive integer $i$.</div> Tom