caa a22 4500 388108495 CHVBK 20180307125346.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500021405 doi S0308210500021405 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500021405 Hughes Bruce Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, USA, (hughes@math.vanderbilt.edu) Stratified path spaces and fibrations [Elektronische Daten] [Bruce Hughes] The main objects of study are the homotopically stratified metric spaces introduced by Quinn. Closed unions of strata are shown to be stratified forward tame. Stratified fibrations between spaces with stratifications are introduced. Paths that lie in a single stratum, except possibly at their initial points, form a space with a natural stratification, and the evaluation map from that space of paths is shown to be a stratified fibration. Applications to mapping cylinders and to the geometry of manifold stratified spaces are expected in future papers. Copyright © Royal Society of Edinburgh 1999 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/2(1999), 351-384 0308-2105 129:2<351 1999 129 PRM https://doi.org/10.1017/S0308210500021405 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500021405 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Hughes Bruce Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, USA, (hughes@math.vanderbilt.edu) NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/2(1999), 351-384 0308-2105 129:2<351 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge