BEGIN:VCALENDAR VERSION:2.0 CALSCALE:GREGORIAN PRODID:iCalendar-Ruby BEGIN:VEVENT CATEGORIES:Lectures & Presentations DESCRIPTION:Math Colloquium | Uncountable Linear Orders: A Brief Survey\, O ct. 20\n\nThe Math Department colloquium series features Dr. Todd Eisworth discussing "Uncountable Linear Orders: A Brief Survey" on Thursday\, Oct. 2 0\, at 4 p.m. in Morton Hall.\n\n \n\nEisworth is Associate Professor of Ma thematics at Ohio University.\n\n \n\nAbstract: Linearly ordered sets are s imply-defined structures that are ubiquitous in mathematics. Countable line arly ordered sets are easy to understand: these all turn out to be isomorph ic to some subset of the rationals\, but what about uncountable linear orde red sets? Some concrete things can be said\, but one quickly runs into the independence phenomenon: very often\, answers to natural questions will t urn out to be undecidable\, neither provable nor refutable from the usual a xioms that define the set-theoretic universe. We will survey some results shedding light on the classification and potential behavior of uncountable linear orders\, and finish by discussing some results obtained in research this past summer. DTEND:20221020T210000Z DTSTAMP:20241125T114508Z DTSTART:20221020T200000Z GEO:39.324149;-82.097337 LOCATION:Morton Hall SEQUENCE:0 SUMMARY:Math Colloquium | Uncountable Linear Orders: A Brief Survey\, Oct. 20 UID:tag:localist.com\,2008:EventInstance_41253144778018 URL:https://calendar.ohio.edu/event/math_colloquium_oct_20 END:VEVENT END:VCALENDAR