The complement of a subspace in a classical polar space

Krzysztof Petelczyc, Mariusz Żynel

Abstract


In a polar space, embeddable into a projective space, we fix a subspace, that is contained in some hyperplane. The complement of that subspace resembles a slit space or a semiaffine space. We prove that under some assumptions the ambient polar space can be recovered in this complement.

Keywords


Polar space, projective space, semiaffine space, slit space, complement

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DOI: https://doi.org/10.26493/1855-3974.1917.ea5

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications