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Projections in Spaces of Bimeasures
Canadian Mathematical Bulletin, 1988AbstractLet X and Y be metrizable compact spaces and μ and v be nonzero continuous measures on X and Y, respectively. Then there is no bounded operator from the space of bimeasures BM(X, Y) onto the closed subspace of BM(X, Y) generated by L1 (μ X v); in particular, if X and Fare nondiscrete locally compact groups, then there is no bounded projection ...
Graham, Colin C., Schreiber, Bertram M.
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The Annals of Mathematics, 1967
THEOREM 2. (a) HPn immerses in R8 n-Ea(n)-3J. (b) For n even, CPn immerses in R4ln-a(n)-1]. (c) For n odd, CPn immerses in R4n-a(n). Here a(n) is the number of ones in the dyadic expansion of n, and k(n) is a non-negative function depending only on the mod (8) residue class of n with k(1) = 0, k(3) = k(5) = 1 and k(7) = 4. As a consequence, for every j>
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THEOREM 2. (a) HPn immerses in R8 n-Ea(n)-3J. (b) For n even, CPn immerses in R4ln-a(n)-1]. (c) For n odd, CPn immerses in R4n-a(n). Here a(n) is the number of ones in the dyadic expansion of n, and k(n) is a non-negative function depending only on the mod (8) residue class of n with k(1) = 0, k(3) = k(5) = 1 and k(7) = 4. As a consequence, for every j>
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On the Embedding of an Affine Space into a Projective Space
Geometriae Dedicata, 2000Let \(k\) and \(K\) be commutative fields. An embedding of the affine space \(AG(n,k)\) into the projective space \(PG(m,K)\) is an injective mapping \(\psi\) from the point set of \(AG(n,k)\) to the point set of \(PG(m,K)\) which maps collinear points to collinear points and non-collinear points to non-collinear points. The author shows that for \(|k |
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Function Spaces of Posets with Projections
Applied Categorical Structures, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On cyclic caps in projective spaces
Designs, Codes and Cryptography, 1996A cap in a projective space is a set of points no three of which are collinear. A cap is called complete if it is maximal subject to set-theoretical inclusion. Let \(G\) be a cyclic Singer group of the \(n\)-dimensional projective space \(PG( n,q)\). Let \(H\) be a subgroup of \(G\) and put \(|H|=N\).
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SYMPLECTIC COBORDISM OF PROJECTIVE SPACES
Mathematics of the USSR-Sbornik, 1991The author studies some properties of symplectic cobordism of projective spaces on the fields \({\mathbb{R}}\), \({\mathbb{C}}\), \({\mathbb{H}}\). He proves that \(\vartheta_ 1\vartheta_ i\vartheta_ j=0\), where the \(\vartheta_ i\) are the elements considered by \textit{N.
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