{"id":657,"date":"2022-01-17T13:44:25","date_gmt":"2022-01-17T13:44:25","guid":{"rendered":"https:\/\/pages.charlotte.edu\/colloquium\/?p=657"},"modified":"2022-01-17T13:45:14","modified_gmt":"2022-01-17T13:45:14","slug":"friday-january-21-2022-1200-1215pm-via-zoom","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2022\/01\/17\/friday-january-21-2022-1200-1215pm-via-zoom\/","title":{"rendered":"Friday, January 21, 2022, 12:00-1:00 via Zoom"},"content":{"rendered":"\n<p><strong>Speaker:<\/strong>&nbsp;Dr. <a href=\"https:\/\/clontz.org\/math\/\">Steven Clontz<\/a>, from the <a href=\"https:\/\/www.southalabama.edu\/colleges\/artsandsci\/mathstat\/\">University of South Alabama<\/a><\/p>\n\n\n\n<p><strong>Date and Time:<\/strong>&nbsp;Friday, January 21, 2022, 12:00-1:00 via Zoom. Please contact <a href=\"https:\/\/math.charlotte.edu\/directory\/william-brian\">Will Brian<\/a> to obtain the Zoom link.<\/p>\n\n\n\n<p><strong>Title:<\/strong>&nbsp;Games Topologists Play<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>&nbsp;Several ideas from topology and set theory may be characterized by considering two-player infinite-length games. During each round n \u2208 {0,1,2, . . . }, suppose Player 1 makes a move a<sub>n<\/sub> (perhaps choosing an open cover of a given regular space), followed by Player 2 making a move b<sub>n<\/sub> (perhaps choosing a finite subcollection from 1&#8217;s chosen cover); the winner of such a game is determined by the sequence of moves ( a<sub>0<\/sub>,b<sub>0<\/sub>,a<sub>1<\/sub>,b<sub>1<\/sub>, . . . ) (perhaps Player 2 wins if their choices form a cover).<\/p>\n\n\n\n<p>The topological game specified above is known as Menger&#8217;s game, and Player 2 has an unbeatable strategy that only uses information limited to the round number and the most recent move of Player 1 in this game if and only if the given regular space is \u03c3-compact. In this talk, we will explore various results of this flavor found in the literature, including an interesting game-theoretic proof appropriate for undergraduates that the real numbers are uncountable.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker:&nbsp;Dr. Steven Clontz, from the University of South Alabama Date and Time:&nbsp;Friday, January 21, 2022, 12:00-1:00 via Zoom. Please contact Will Brian to obtain the Zoom link. Title:&nbsp;Games Topologists Play Abstract:&nbsp;Several ideas from topology and set theory may be characterized by considering two-player infinite-length games. During each round n \u2208 {0,1,2, . . . }, [&hellip;]<\/p>\n","protected":false},"author":2373,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-657","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-aB","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/657","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/2373"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=657"}],"version-history":[{"count":2,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/657\/revisions"}],"predecessor-version":[{"id":660,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/657\/revisions\/660"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=657"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=657"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}