Abstract
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.
Citation
Peter Novotný. "Span of Dold Manifolds." Bull. Belg. Math. Soc. Simon Stevin 15 (4) 687 - 698, November 2008. https://doi.org/10.36045/bbms/1225893948
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