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Mackey Functors on Provarieties

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Part of the book series: Trends in Mathematics ((TM))

Abstract

MacPherson’s Chern class transformation on complex algebraic varieties is a certain unique natural transformation from the constructible function covariant functor to the integral homology covariant functor, and it can be extended to a category of provarieties. In this paper, as further extensions of this we consider natural transformations among Mackey functors on provarieties and also on “indvarieties” and discuss some notions and examples related to these extensions.

Partially supported by Grant-in-Aid for Scientific Research (No.17540088), the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan.

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Yokura, S. (2006). Mackey Functors on Provarieties. In: Brasselet, JP., Ruas, M.A.S. (eds) Real and Complex Singularities. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7776-2_24

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