منابع مشابه
Projective Embedding of [0, m] - Spaces
A [0, m]-space is a linear space with the following property: For any point-line pair (x, G) there are at most m lines through x which are coplanar with G and which have no point in common with G. For every [0, m]-space (M, 90l) we define an order o r d M in a natural way. For dimM~>3 and o r d M ~ > 3 m + 2 , every [0, m]-space (M, 991) can be embedded in a projective space (P, £) with dim P =...
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In this paper, embeddings φ : M → P from a linear space (M,M) in a projective space (P,L) are studied. We give examples for dimM > dimP and show under which conditions equality holds. More precisely, we introduce properties (G) (for a line L ∈ L and for a plane E ⊂ M it holds that |L ∩ φ(M)| 6 = 1) and (E) (φ(E) = φ(E) ∩ φ(M), whereby φ(E) denotes the by φ(E) generated subspace of P ). If (G) a...
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1. Haefliger reduced the question of embedding manifolds in the Euclidian space R to a homotopy problem in [ö]. Since then it has been of some interest to find examples of ^-manifolds which embed in R~ for a given k. In particular great effort has been spent studying embeddings of the various projective spaces. However, the k that were thus obtained were in no cases larger than 5 or 6 (see for ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1995
ISSN: 0097-3165
DOI: 10.1016/0097-3165(95)90081-0