Complements of Grassmann substructures in projective Grassmannians

• Published in: Aequationes mathematicae Vol. 88; no. 1-2; pp. 81 - 96
• Main Author: Ynel, Mariusz
• Format: Journal Article
• Language: English
• 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

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.