VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Periodic homotopy and conjugacy idempotents
    Smrekar, Jaka
    A self-map on the CW complex is a periodic homotopy idempotent if for some ▫$r \ge 0$▫ and ▫$p>0$▫ the iterates ▫$f^r$▫ and ▫$f^{r+p}$▫ are homotopic. Geoghegan and Nicas defined the rotation index ... ▫$RI(f)$▫ of such a map. They proved that for ▫$r=p=1$▫, the homotopy idempotent ▫$f$▫ splits if and only if ▫$RI(f)=1$▫, while for ▫$r=0$▫, the index ▫$RI(f)$▫ divides ▫$p^2$▫. We extend this to arbitrary ▫$p$▫ and ▫$r$▫, and generalize various results related to the splitting of homotopy idempotents on CW complexes and conjugacy idempotents on groups.
    Vir: Proceedings of the American Mathematical Society. - ISSN 0002-9939 (Vol. 135, no. 12, 2007, str. 4045-4055)
    Vrsta gradiva - članek, sestavni del
    Leto - 2007
    Jezik - angleški
    COBISS.SI-ID - 14382681

    Povezava(-e):

    http://dx.doi.org/10.1090/S0002-9939-07-08900-9

Vnos na polico