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From: "Prof. Peter Johnstone"
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Subject: terminology for simplicial sets
Date: Tue, 19 Oct 2010 11:54:54 +0100 (BST)
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In something I've been thinking about recently, the condition
on a simplicial set that all faces of non-degenerate simplices
are non-degenerate seems to play a significant role. Does anyone
know whether this condition has been considered previously, and
if so whether it has a standard name?
The condition is of course satisfied by those simplicial sets
which are derived from simplicial complexes in the standard way,
but it's more general: it allows the possibility that two
(formally) different faces of a non-degenerate simplex might
coincide, as long as they're not degenerate.
Peter Johnstone
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