Intersection homology of stratified fibrations and neighborhoods (Q2381957)

This paper contains a detailed study of the intersection homology of stratified fibrations and neighborhoods of singular sets in stratified spaces. The setting is in the widely applicable theory of manifold homotopically stratified spaces introduced by \textit{F. Quinn} [J. Am. Math. Soc. 1, No.~2, 441--499 (1988; Zbl 0655.57010)] as a means of studying purely topological (as opposed to smooth or PL) phenomena. The author derives spectral sequences for the intersection homology of stratified fibrations. He is then able to apply this to the intersection homology of neighborhoods in manifold homotopically stratified spaces because neighborhoods of singular sets have homotopy models that are mapping cylinders of stratified fibrations.