On iterated suspensions II.

Approximation and Complexity II: Iterated Integration

Algebraic Cycles and Motivic Iterated Integrals Ii

This is a sequel to [FJ]. It will give a more natural framework for constructing elements in the Hopf algebra χF of framed mixed Tate motives according to Bloch and Křiž [BK]. This framework allows us to extend the results of [FJ] to interpret all multiple zeta values (including the divergent ones) and the multiple polylogarithms in one variable as elements of χF . It implies that the pro-unipo...

Operads and Algebraic Homotopy Ii: Suspensions

On Kunneth suspensions

0. Introduction. In (2) we denned the Kunneth suspension of a cohomology operation —the Kunneth suspension involves an arbitrary ess-complex Y rather than the 1-sphere S 1 , as with the usual suspension of a cohomology operation. Now the suspension homomorphism is well known to be related to the operation of forming loop spaces (cf. (4)). The main object of this paper is to prove a similar resu...

On Iterated Scattered Deletion

In this note, we solve an open problem of Ito et al. 2] on iterated scattered deletion. Note: Since this note has appeared in Bull. EATCS, I have been informed that this problem has been previously solved; see Ito and Silva 1], where the authors show that there exists a regular language R such that (;) + (R) is not a CFL. I am grateful to Masami Ito for pointing me to this reference. is the set...