### On the size of maximal caps in ${Q}^{+}(5,q)$.

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2000 Mathematics Subject Classification: 05B25, 51E20. We survey the main results on ovoids and spreads, large maximal partial ovoids and large maximal partial spreads, and on small maximal partial ovoids and small maximal partial spreads in classical finite polar spaces. We also discuss the main results on the spectrum problem on maximal partial ovoids and maximal partial spreads in classical finite polar spaces. The research of the fourth author was also supported by the...

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