JournalsowrVol. 9 / No. 2DOI 10.4171/owr/2012/24

Triangulations

  • William H. Jaco

    Oklahoma State University, Stillwater, USA
  • Frank H. Lutz

    Technische Universität Berlin, Germany
  • Francisco Santos

    Universidad de Cantabria, Santander, Spain
  • John M. Sullivan

    Technische Universität Berlin, Germany
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Abstract

The earliest work in topology was often based on explicit combinatorial models – usually triangulations – for the spaces being studied. Although algebraic methods in topology gradually replaced combinatorial ones in the mid-1900s, the emergence of computers later revitalized the study of triangulations. By now there are several distinct mathematical communities actively doing work on different aspects of triangulations. The goal of this workshop was to bring the researchers from these various communities together to stimulate interaction and to benefit from the exchange of ideas and methods.