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Title: Motivic spaces with proper support
Author: Alameddin, A.
ISNI:       0000 0004 6422 8557
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 2017
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In this thesis we introduce the notion of a cdp-functor on the category of proper schemes over a Noetherian base, and we show that cdp-functors to Waldhausen categories extend to factors that satisfy the excision property. This allows us to associate with a cdp-functor an Euler-Poincaré characteristic that sends the class of a proper scheme to the class of its image. Applying this construction to the Yoneda embedding yields a monoidal proper-fibred Waldhausen category over Noetherian schemes, with canonical cdp-functors to its fibres. Also, we deduce a motivic measure to the Grothendieck ring of finitely presented simplicially stable motivic spaces with the cdh-topology.
Supervisor: Guletskii, V. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral