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Question on Topic Map Ontologies: msg#00002

Subject: Question on Topic Map Ontologies
I have a question regarding ontology definition within topic maps.  Say I have 
a topic map that addresses two or more ontologies that intersect.  By using the 
concept of topic map templates, I can create topic classes to define an 
ontology, and then add topic instances.  (i.e. essentially a topic map template 
per ontology? – does this make sense?).

However, I’m not sure how topic types are represented in the RM or the HG4TM.

In the proposed hypergraph model, 12/3/2002 (Bernard Vatant, and originally 
from Pascal Auillans, et. al.) a triple is introduced consisting of:

S = set of subjects
H = 5 tuple hypergraph
r = representation function

The hypergraph sets of vertices, edges, and incidences relate nicely to the S 
set subjects, assertions and role casting:

Association = r(edge)
Role casting = r(incidence)
Subject = r(vertex)

Within S, class typing is also provided for:

T(a, t),  or assertion, a,  is of assertion type t
T(c, r), or role casting, c, is of role type r

I did not see subject typing however, which I would’ve guessed to be:

T(s, sc), or subject, s, is of subject class sc

I’m probably missing something very fundamental here.  Does the absence of this 
last formula mean that a subject must be reified before it can be an instance 
of a class? ..and if so, how are topic class represented?

The RM is consistent with the HG4TM, so the same question arises – where is the 
topic class-instance represented?  

Thanks, Rik


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