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Article #180Topos, Foliations and all that
From: Alejandro Rivero
Date: Fri, 22 Jan 1993 21:08
Date: Fri, 22 Jan 1993 21:08
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First of all, let me to add to the bibliography a nice book we have just got: Sheaves in Geometry and Logic, By S MacLane and Ieke Moerdijk, Springer. Second, I want to ask if some Topos/Sheaf fanatic have studied relationship between the generalized spaces etc of Topos theory, and the non-conmutative "spaces" of Alain Connes. Im not expert in the matter, so I could be asking a nonsense. Anyway, a motivation for the question is that the Kroneker foliation of the bidimensional torus, which were the main example of Connes' theory, is also one principal example of Sheaf/Topos theory when used to calculate De Rham Homology. At least, it is used by Moerdijk (althought not in that book) to show all the constructios of clasifiyng topos, BG etc... -Alejandro Rivero Zaragoza Univ, Spain rivero@cc.unizar.es or rivero@sol.cie.unizar.es
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Newsgroups: sci.math.research Path: arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!dan From: rivero@sol.cie.unizar.es (Alejandro Rivero) Subject: Topos, Foliations and all that Message-ID: <1993Jan22.210826.12345@ulrik.uio.no> Originator: dan@symcom.math.uiuc.edu Sender: Daniel Grayson <dan@math.uiuc.edu> Reply-To: rivero@sol.cie.unizar.es X-Submissions-To: sci-math-research@uiuc.edu Organization: Department of Theoretical Physics. University of Zaragoza X-Administrivia-To: sci-math-research-request@uiuc.edu Approved: Daniel Grayson <dan@math.uiuc.edu> Date: Fri, 22 Jan 1993 21:08:26 GMT Lines: 20