SOME STUNTED PROJECTIVE SPACES
نویسندگان
چکیده
منابع مشابه
Some Immersion Theorems for Projective Spaces
Adem and Gitler showed in [4] and [7] that RPn has a best possible immersion in R2n'i for n=X mod 4 and <*(«) = 3. These results are interesting only for small values of a(«) due to Milgram's construction of linear immersions in [21]. The method of proof consists of expressing certain obstructions to the lifting of an appropriate map by AdamsMaunder operations and then evaluating these operatio...
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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...
متن کاملSome New Nonimmersion Results for Real Projective Spaces
We use the spectrum tmf to obtain new nonimmersion results for many real projective spaces RP for n as small as 113. The only new ingredient is some new calculations of tmfcohomology groups. We present an expanded table of nonimmersion results. Our new theorem is new for 17% of the values of n between 2 and 2 + 2 for i ≥ 15.
متن کاملSome New Embeddings and Nonimmersions of Real Projective Spaces
Theorem 1.1(1) improves on the previously best known result ([1]) by 1 dimension, while Theorem 1.1(2) improves on the previously best known nonimmersion and nonembedding results ([2]) for P 16n+10 and P 16n+11 by 4 dimensions, and is within 1 of best possible for them. It also implies new nonimmersions for P , P , and P . Theorem 1.2 improves on the previously best known embedding ([11]) of P ...
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ژورنال
عنوان ژورنال: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
سال: 1962
ISSN: 1883-2172,0373-6385
DOI: 10.2206/kyushumfs.16.75