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Realizing cohomology classes as Euler classes

In: Mathematica Slovaca, vol. 62, no. 5
Aniruddha C Naolekar
Detaily:
Rok, strany: 2012, 949 - 966
Kľúčové slová:
Euler class, spherical class
O článku:
For a space $X$, let $Ek(X)$, $Eks(X)$ and $E\circk(X)$ denote respectively the set of Euler classes of oriented $k$-plane bundles over $X$, the set of Euler classes of stably trivial $k$-plane bundles over $X$ and the spherical classes in $Hk(X;\mathbb Z)$. We prove some general facts about the sets $Ek(X)$, $Eks(X)$ and $Ek\circ(X)$. We also compute these sets in the cases where $X$ is a projective space, the Dold manifold $P(m,1)$ and obtain partial computations in the case that $X$ is a product of spheres.
Ako citovať:
ISO 690:
Naolekar, A. 2012. Realizing cohomology classes as Euler classes. In Mathematica Slovaca, vol. 62, no.5, pp. 949-966. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0057-2

APA:
Naolekar, A. (2012). Realizing cohomology classes as Euler classes. Mathematica Slovaca, 62(5), 949-966. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0057-2
O vydaní:
Publikované: 1. 10. 2012