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    Carroll, Ryan and Seaton, Christopher 2013. Extensions of the Euler–Satake characteristic for nonorientable 3-orbifolds and indistinguishable examples. Involve, a Journal of Mathematics, Vol. 6, Issue. 3, p. 345.


    Schulte, John Seaton, Christopher and Taylor, Bradford 2011. Free and free abelian Euler–Satake characteristics of nonorientable 2-orbifolds. Topology and its Applications, Vol. 158, Issue. 16, p. 2244.


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CLASSIFYING CLOSED 2-ORBIFOLDS WITH EULER CHARACTERISTICS

  • WHITNEY DUVAL (a1), JOHN SCHULTE (a1), CHRISTOPHER SEATON (a1) and BRADFORD TAYLOR (a1)
  • DOI: http://dx.doi.org/10.1017/S001708951000042X
  • Published online: 01 August 2010
Abstract
Abstract

We determine the extent to which the collection of Γ-Euler–Satake characteristics classify closed 2-orbifolds. In particular, we show that the closed, connected, effective, orientable 2-orbifolds are classified by the Γ-Euler–Satake characteristics corresponding to free or free abelian Γ and are not classified by those corresponding to any finite set of finitely generated discrete groups. These results demonstrate that the Γ-Euler–Satake characteristics corresponding to free abelian Γ constitute new invariants of orbifolds. Similarly, we show that such a classification is neither possible for non-orientable 2-orbifolds nor for non-effective 2-orbifolds using any collection of groups Γ.

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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
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