Complements of Grassmann substructures in projective Grassmannians

We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space with the interval of its distinguished subspaces can be recovered.

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Bibliographic Details
Published inAequationes mathematicae Vol. 88; no. 1-2; pp. 81 - 96
Main Author Ynel, Mariusz
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.09.2014
Springer Nature B.V
Subjects
Analysis
Combinatorics
Complement
Intervals
Mathematics
Mathematics and Statistics
Subspaces
Substructures
projective space
Grassmannian
Slit space
51A15
affine space
51A45
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Summary:We prove that a projective Grassmannian can be recovered from the complement of one of its Grassmann substructures. Even more, the underlying projective space with the interval of its distinguished subspaces can be recovered.
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ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-013-0210-1