* Elementary concepts of map objects
@ 2009-05-08 17:41 PETER EASTHOPE
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From: PETER EASTHOPE @ 2009-05-08 17:41 UTC (permalink / raw)
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In light of the recent discussion here about
the "horizontal line notation", I've returned
to the introduction to map objects in L. & S.,
_Conceptual Mathematics_. This statement is
in the rectangle at the top of page 314.
( Script.ChangeFont Courier8 )
T e X ----> Y
T x Y ----> Y induces -------------
T x X ----> Y
Evaluation map e induces a "correspondence".
Is this horizontal line an implication or
an equivalence or a map or a bijection?
"Induces" seems plausible but exactly what
is meant?
Thanks, ... Peter E.
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