Über schwach-perspektive hermitesche Mengen

On the embeddability of polar spaces

“…When the projective space has finite dimension, this is a result of Buekenhout and Lef6vre [3]. To a large extent, embeddings in infinite-dimensional spaces were handled by Dienst [7] and Schr6der [-11]. New, more elementary, and complete proofs appear in [2] and [-9].…”

“…We show that every nondegenerate polar space of rank at least 4 with at least three points on each line can be embedded in a projective space. Together with some results from [9] and [1][2][3][4][5][6][7][8][9][10][11][12], this provides a particularly elementary proof that any such polar space is of classical type. Our methods involve the use of geometric hyperplanes and work equally well for spaces of finite or infinite rank.…”