Controlled homotopy topological structures

A Bass–Heller–Swan formula for pseudoisotopies

“…More specifically, the methods used combine the explicit construction of the pseudoisotopy relaxation given in [31] and the controlled methods used in [10,19,21,25,26]. Using the construction in [31], we give an explicit calculation of the relaxation map: r : P(X ×S 1 ) → RP(X ×S 1 ) that splits the "forget-control" map.…”