---
res:
  bibo_abstract:
  - 'This note contributes to the point calculus of persistent homology by extending
    Alexander duality from spaces to real-valued functions. Given a perfect Morse
    function f: S n+1 →[0, 1 and a decomposition S n+1 = U ∪ V into two (n + 1)-manifolds
    with common boundary M, we prove elementary relationships between the persistence
    diagrams of f restricted to U, to V, and to M. @eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Herbert
      foaf_name: Edelsbrunner, Herbert
      foaf_surname: Edelsbrunner
      foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9823-6833
  - foaf_Person:
      foaf_givenName: Michael
      foaf_name: Kerber, Michael
      foaf_surname: Kerber
      foaf_workInfoHomepage: http://www.librecat.org/personId=36E4574A-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-8030-9299
  bibo_doi: 10.1145/2261250.2261287
  dct_date: 2012^xs_gYear
  dct_language: eng
  dct_publisher: ACM@
  dct_title: 'Alexander duality for functions: The persistent behavior of land and
    water and shore@'
...