symmetric closed monoidal structure on CGTop

26 Jul 2002

      Dear all,

In the category CGTop of compactly generated Hausdorff topological
spaces, the product provides a symmetric closed monoidal structure.

Question:
Is there another symmetric closed monoidal structure on CGTop ?

Thanks in advance. pg.

PS :

Fact1 : On the category Top of topological spaces, there is exacly one
symmetric closed monoidal structure. See Borceux vol 2
Proposition 7.1.6 and

@article {MR87k:54012,
    AUTHOR = {Pedicchio, Maria Cristina and Solimini, Sergio},
     TITLE = {On a ``good'' dense class of topological spaces},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {42},
      YEAR = {1986},
    NUMBER = {3},
     PAGES = {287--295},
      ISSN = {0022-4049},
     CODEN = {JPAAA2},
   MRCLASS = {54B30 (18B30 18D10 18D15 54A10)},
  MRNUMBER = {87k:54012},
MRREVIEWER = {D. Pumpl{\"u}n},
}

30-Jul-2002 18:56:10 -0300,2498;000000000000-00000024

symmetric closed monoidal structure on CGTop

Philippe Gaucher