Non-existence of exchange transformations of iterated jet functors

Volume 76 / 2007

Miroslav Doupovec, W/lodzimierz M. Mikulski Banach Center Publications 76 (2007), 497-504 MSC: 58A05, 58A20. DOI: 10.4064/bc76-0-25


We study the problem of the non-existence of natural transformations $J^rJ^sY\to J^sJ^rY$ of iterated jet functors depending on some geometric object on the base of $Y$.


  • Miroslav DoupovecDepartment of Mathematics
    Brno University of Technology
    FSI VUT Brno, Technická 2
    616 69 Brno, Czech Republic
  • W/lodzimierz M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Kraków, Poland

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