Catching and missing finite sets

Martin H. Ellis
<span title="1978-12-01">1978</span> <i title="Canadian Mathematical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/stl7jpkksnhgjaaleuuhox3tou" style="color: black;">Canadian mathematical bulletin</a> </i> &nbsp;
If T is a 1-1 bimeasurable measure-preserving aperiodic transformation on a probability space X which is a Lebesgue space, then {A:A<=^X and for almost every pair of finite sets F and G there is an neN satisfying F^T'A and GHTM.^} is dense in the cr-algebra of measurable sets.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4153/cmb-1978-074-9">doi:10.4153/cmb-1978-074-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zhzgu5lyundmze6cx2afmfsm34">fatcat:zhzgu5lyundmze6cx2afmfsm34</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201211102556/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/CBF745F45CC4B6F43884105F0879F0ED/S0008439500059610a.pdf/div-class-title-catching-and-missing-finite-sets-div.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fb/83/fb83d04c8baef836793719deed50b686e9d8864f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4153/cmb-1978-074-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>