Span of Dold Manifolds
Novotný, Peter
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 687-698 / Harvested from Project Euclid
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We study span and stable span of Dold manifolds $P(m,n)$. We present several lower and upper bounds for these invariants, and for some pairs $(m,n)$, we determine the exact values of span or stable span. In the case $P(m,1)$, $m\not\equiv15\pmod{16}$, we show how the maximum number of everywhere linearly independent vector fields can be constructed.
Publié le : 2008-05-15
Classification:  Dold manifold,  span,  stable span,  vector field,  Stiefel-Whitney class,  57R25,  55S40,  57R20 
@article{1225893948,
     author = {Novotn\'y, Peter},
     title = {Span of Dold Manifolds},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 687-698},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225893948}
}

Novotný, Peter. Span of Dold Manifolds. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  687-698. http://gdmltest.u-ga.fr/item/1225893948/