2003/01/31 by Colin Rourke, Brian Sanderson
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Brouwer fixed-point theorem #Codimension #Constructive #Danskin's theorem #Discrete mathematics #Field (mathematics) #Fixed-point theorem #Geometric and Algebraic Topology #Geometry #Gravitational singularity #Homotopy and Cohomology in Algebraic Topology #Intersection theorem #Isotopy #Mathematical analysis #Mathematical proof #Mathematics #Pure mathematics #Vector field #math.AT #math.GT #msc:55P35 #msc:55P40 #msc:55P47 #msc:57R20 #msc:57R25 #msc:57R27 #msc:57R40 #msc:57R42 #msc:57R45 #msc:57R52
paper · pdf · doi:10.2140/agt.2003.3.857
published as Algebr. Geom. Topol. 3 (2003) 857-872 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-28.abs.html
arxiv created 2003/09/25 · openalex publication_date 2003/09/25 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This is the third of three papers about the Compression Theorem: if M m is embedded in Q q R with a normal vector field and if q-m 1, then the given vector field can be straightened (ie, made parallel to the given R direction) by an isotopy of M and normal field in Q R.