From: Mamuka Jibladze <jib@rmi.acnet.ge>
To: categories@mta.ca
Subject: Re: David Benson's questions on terminology
Date: Wed, 29 Nov 2000 15:12:53 +0200 (EET) [thread overview]
Message-ID: <Pine.GSO.3.96.1001129150237.1166B-100000@rmi-sun.rmi.acnet.ge> (raw)
In-Reply-To: <3A24002A.2762B24B@stmarys.ca>
> I don't think David was trying to generalize the successor
> relation in the sense of finding a "moral equivalent" in a poset for
> the natural numbers' successor _function_. All he wants - I think -
> is a notation for "a > b and there is no a>c>b". I would suggest
> using an indefinite article with a noun formation:
>
> " a is _a_ successor of b"
>
> or a prepositional formation that does not connote uniqueness or
> necessary existence:
>
> "a is immediately above b"
>
> Bob Pare and I used "<!" for this in our 1993 paper on tileorders.
In that case I believe there is established terminology/notation in
lattice theory, they say "a covers b", denoted b -< a, and corresponding
intervals (i.e. intervals with [a,b]={a,b}) are called gaps.
Mamuka
next prev parent reply other threads:[~2000-11-29 13:12 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
[not found] <200011281143.LAA22264@koi-pc.dcs.qmw.ac.uk>
2000-11-28 18:57 ` Robert J. MacG. Dawson
2000-11-29 13:12 ` Mamuka Jibladze [this message]
2000-11-29 9:25 Vaughan Pratt
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