A1-contractibility of Koras-Russell threefolds

Finite suspensions of Koras-Russell threefolds are contractible in A1-homotopy theory.Comment: Final version, to appear in Algebraic Geometr

Rigidity for equivariant pseudo pretheories

We prove versions of the Suslin and Gabber rigidity theorems in the setting of equivariant pseudo pretheories of smooth schemes over a field with an action of a finite group. Examples include equivariant algebraic $K$-theory, presheaves with equivariant transfers, equivariant Suslin homology, and Bredon motivic cohomology.Comment: 19 pages; to appear in Journal of Algebr