naa a22 4500 510783783 CHVBK 20180411083255.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11856-013-0022-y doi (NATIONALLICENCE)springer-10.1007/s11856-013-0022-y Wild singularities of flat surfaces [Elektronische Daten] [Joshua Bowman, Ferrán Valdez] We consider flat surfaces and the points of their metric completions, particularly the singularities to which the flat structure of the surface does not extend. The local behavior near a singular point x can be partially described by a topological space L(x) which captures all the ways that x can be "approached linearly”. The homeomorphism type of L(x) is an affine invariant. When x is not a cone point or an infinite-angle singularity, we say it is wild; in this case it is necessary to add further metric data to L(x) to get a quantitative description of the surface near x. Hebrew University Magnes Press, 2013 Bowman Joshua IMS, Stony Brook University, 11794-3660, Stony Brook, NY, USA aut Valdez Ferrán Centro de Ciencias Matemáticas, U.N.A.M., Campus Morelia, Michoacán, México aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 69-97 0021-2172 197:1<69 2013 197 11856 https://doi.org/10.1007/s11856-013-0022-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0022-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bowman Joshua IMS, Stony Brook University, 11794-3660, Stony Brook, NY, USA aut NATIONALLICENCE 700 1- Valdez Ferrán Centro de Ciencias Matemáticas, U.N.A.M., Campus Morelia, Michoacán, México aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 69-97 0021-2172 197:1<69 2013 197 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer