<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Stratified Approximation Results in Singular Spaces"^^ . "Determining conditions under which a given map is close to a homeomorphism has been an\r\nimportant problem in geometric topology. One of the major results related to the problem is\r\nthe α-Approximation\r\nTheorem of Chapman and Ferry, which asserts that a small homotopy\r\nequivalence between manifolds is small homotopic to a homeomorphism. In this context, the\r\nsmallness condition on a homotopy means that the size of the track covered by each point during\r\nthe homotopy is small when measured by an open cover of the target space. In proving\r\nsuch a theorem, besides the original approach of ChapmanFerry\r\nwhich uses some results from\r\ntopological surgery theory, there is another more geometric approach that is more suitable to\r\nestablish a similar theorem for classes of spaces more general than manifolds. This second approach,\r\ndue to Chapman himself, is to use controlled topological engulfing to prove a geometric\r\nresult on approximate fibrations called the Sucking Principle. The α-Approximation\r\nTheorem\r\nthen follows from an application of this principle together with the Cell-Like\r\nApproximation\r\nTheorem of Siebenmann. In this thesis, based on previous work of B. Hughes, we develop various\r\ntools that address the above approximation questions in a stratified setting of possibly singular\r\nspaces. In particular, we establish the Stratified Radial Engulfing Theorem, the Stratified\r\nWrapping Up Theorem, the Stratified Handle Theorem, and the Stratified \r\ngamma-Sucking\r\nTheorem.\r\nAs a consequence we obtain a Stratified Sucking Theorem with unstratified polyhedral target\r\nspace."^^ . "2021" . . . . . . . "-"^^ . "Listiyanto"^^ . "- Listiyanto"^^ . . . . . . "Stratified Approximation Results in Singular Spaces (PDF)"^^ . . . "Dissertation_Listiyanto.pdf"^^ . . . "Stratified Approximation Results in Singular Spaces (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Stratified Approximation Results in Singular Spaces (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Stratified Approximation Results in Singular Spaces (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Stratified Approximation Results in Singular Spaces (Other)"^^ . . . . . . "small.jpg"^^ . . . "Stratified Approximation Results in Singular Spaces (Other)"^^ . . . . . . "indexcodes.txt"^^ . . "HTML Summary of #29887 \n\nStratified Approximation Results in Singular Spaces\n\n" . "text/html" . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . .