A Necessary and Sufficient Condition on Diffeomorphisms
Received:October 07, 1998  
Key Words: Cr-dffeomorphism   adjoint equivalence   inherent W.G.-sheaf.  
Fund Project:
Author NameAffiliation
Wei-ping LI Dept of Math.
Oklahoma State University
Stillwater
Oklahoma 74078-0613
U.S.A 
YU Yong-xi Dept. of Math.
Suzhou University
215006 
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Abstract:
      We introduce anti-sheaves for Cr-manifolds and a category of anti-sheaves. The adjoint equivalence between the category of anti-sheaves and the category of Cr-manifolds is established. Using such an equivalence, we obtain a characterization for deciding whether two given manifolds arc Cr-diffeomorphic in terms of inherent W.(G)- sheaves. This provides the first known criterion for determining whether two given man- ifolds are diffeomorphic.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.01.001
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