Motivic Measures through Waldhausen K-Theories

Abstract

In this paper we introduce the notion of a $cdp$-functor to a Waldhausen category. We show that such functors admit extensions that satisfy the excision property, to which we associate Euler-Poincaré characteristics that send the class of a proper scheme to the class of its image. As an application, we show that the Yoneda embedding gives rise to a monoidal proper-fibred Waldhausen category over Noetherian schemes of finite Krull dimensions, with canonical $cdp$-functors to its fibres.

Comments are welcome!

References in corpus (2)

• Set theory for category theory
• Derived Koszul Duality and Involutions in the Algebraic K-Theory of Spaces