Geodesic
Spreads which are Not Dual Spreads
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 801-803

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In this note we show the existence of a spread which is not a dual spread, thus answering a question in [1]. We also obtain some related results on spreads and partial spreads.Let ∑ = PG(2t-l, F) be a projective space of odd dimension (2t-l, ≥2) over the field F. In accordance with [1] we make the following definitions. A partial spread S of ∑ is a collection of (t-l)-dimensional projective subspaces of ∑ which are pairwise disjoint (skew). 
Bruen, A.; Fisher, J. C. Spreads which are Not Dual Spreads. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 801-803. doi: 10.4153/CMB-1969-103-7
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     author = {Bruen, A. and Fisher, J. C.},
     title = {Spreads which are {Not} {Dual} {Spreads}},
     journal = {Canadian mathematical bulletin},
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     year = {1969},
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     number = {6},
     doi = {10.4153/CMB-1969-103-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-103-7/}
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