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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:20241123T040730Z
DTSTART:20221020T200000Z
GEO:39.324149;-82.097337
LOCATION:Morton Hall
SEQUENCE:0
SUMMARY:Math Colloquium | Uncountable Linear Orders: A Brief Survey\, Oct.
20
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URL:https://calendar.ohio.edu/event/math_colloquium_oct_20
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