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CATEGORIES:Topology and Dynamics Seminar
SUMMARY: Continuity of betweenness functions - Prof. Paul
Bankston (Marquette University)
DTSTART:20180322T140000Z
DTEND:20180322T150000Z
UID:TALK3168AT
URL:/talk/index/3168
DESCRIPTION:A ternary relational structure (X\,[.\,.])\, inter
preting a notion of betweenness\, gives rise to th
e family of intervals\, with interval [a\,b] being
defined as the set of elements of X between a and
b. Under very reasonable circumstances\, X is al
so equipped with some topological structure\, in s
uch a way that each interval is a closed nonempty
subset of X. The question then arises as to the c
ontinuity behavior--within the hyperspace context-
-of the betweenness function {x\,y}-->[x\,y]. In
this talk we concentrate on metric spaces and the
Menger interpretation of betweenness: z lies betwe
en x and y if d(x\,y) = d(x\,z)+d(z\,y).
LOCATION:Lecture Theatre B\, Watson Building
CONTACT:Robert Leek
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