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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2
  6. How Many Closed Structures does the Construct PRAP Admit?
 
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How Many Closed Structures does the Construct PRAP Admit?

Sioen, Mark
2001
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ISSN
0049-4704
http://hdl.handle.net/10077/4293
  • Article

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
Subjects
  • Pre-approach space (s...

  • (symmetric) monoidal ...

  • measurable cardinal

  • strongly rigid class

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.
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