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How Many Closed Structures does the Construct PRAP Admit?
Sioen, Mark
2001
Abstract
We will prove that the topological construct PRAP,
introduced by E. and R. Lowen in [9] as a numerification supercategory
of the construct PRTOP of convergence spaces and
continuous maps, admits a proper class of monoidal closed structures.
We will even show that under the assumption that there
does not exist a proper class of measurable cardinals, it admits a
proper conglomerate (i.e. one which is not codable by a class)
of mutually non-isomorphic monoidal closed structures. This
severely contrasts with the situation concerning symmetric monoidal
closed structures, because it is shown in [13] that PRAP
only admits one symmetric tensorproduct, up to natural isomorphism.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Mark Sioen, "How Many Closed Structures does the Construct PRAP Admit?", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 135–147.
Languages
en
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