• Günter Harder
Part of the Aspects of Mathematics book series (ASMA, volume 35)


We start from a topological Space X and we define the category Off(X) of open sets: The objects are the open sets \( U,V\, \subset \,X \) and the morphisms
$${\rm{Ho}}{{\rm{m}}_{{\rm{Off(}}X{\rm{)}}}}{\rm{(}}V{\rm{,}}U{\rm{) = }}\left\{ {\begin{array}{*{20}{c}} \theta & {{\rm{if}}\quad V \not\subset U} \\ {\{ i\} } & {i\;{\rm{is the inclusion if }}V{\rm{ }} \subset {\rm{ }}U.} \\ \end{array}} \right.$$


Abelian Group Open Subset Topological Space Holomorphic Function Complex Space 
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Copyright information

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH 2011

Authors and Affiliations

  • Günter Harder
    • 1
  1. 1.Max-Planck-Institute for MathematicsBonnGermany

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