Erratum to “Smooth shifts along trajectories of flows” [Topology Appl. 130 (2) (2003) 183–204]

Deletion along Trajectories Technical Report 2003-464

We describe a new way to model deletions on formal languages, called deletion along trajectories. We examine its closure properties, and show that it serves as an inverse to shuffle on trajectories, recently introduced by Mateescu et al. This leads to results on the decidability of equations of the form L T X = R, where L;R are regular languages and X is unknown.

J. Gen. Appl. Microbiol., 52, 125–130 (2006)

tants discharged from pulp and paper mills, tanneries, distilleries, dye and paint manufacturing and pharmaceuticals industry (Crosby, 1981). The major source of CPs is as by-products when chlorine is used for bleaching of pulp and for disinfections of drinking water. Therefore, large amounts of chlorinated aromatic compounds, including CPs, have been discharged into the environment (Steinle et...

Erratum Addendum to “ A new proof of the Bott periodicity theorem ” [ Topology Appl . 119 ( 2002 ) 167 – 183 ] ✩

A. Elmendorf has found an error in the approach to Lemmas 2.2 and 2.3 of “A new proof of the Bott periodicity theorem” (Topology and its Applications, 2002, 167–183). There are also errors in the definitions of the maps in Sections 4.2 and 4.5. In this paper we supply corrections to these errors. We also sketch a major simplification of the argument proving real Bott periodicity, unifying the e...

Smooth Shifts

Let M be a smooth manifold and Φ be a smooth flow on M . We study the maps M → M generated by smooth shifts along trajectories of Φ, i.e the maps of a form h(x) = Φ(x, σ(x)) where σ is some smooth function on M . We will classify smooth shifts which induce diffeomorphisms ofM and prove contractibility of the set of such diffeomorphisms for large class of flows. These results will be applied to ...

Deletion along trajectories