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Projections in Spaces of Bimeasures [PDF]
Canadian Mathematical Bulletin, 1988 AbstractLet 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 ...
Colin C. Graham, Bertram M. Schreiber
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Journal of Geometry, 2004
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Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1992
While it is easy to ``see'' the topology on the point set of the real affine plane, this is not so for the line set. The same phenomenon occurs for topological projective planes and spaces. The authors succeed in improving this situation for the projective \(n\)- space \(\mathbb{P}_ n(K)=:\mathbb{P}\) over a topological skew-field \(K\): The vector ...
R. Löwen, R. Kühne
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While it is easy to ``see'' the topology on the point set of the real affine plane, this is not so for the line set. The same phenomenon occurs for topological projective planes and spaces. The authors succeed in improving this situation for the projective \(n\)- space \(\mathbb{P}_ n(K)=:\mathbb{P}\) over a topological skew-field \(K\): The vector ...
R. Löwen, R. Kühne
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manuscripta mathematica, 2003
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N. Mohan Kumar +2 more
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N. Mohan Kumar +2 more
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Parallelisms of projective spaces
Journal of Geometry, 2003A parallelism \(\parallel\) of a projective space is an equivalence relation on the set of lines such that the Euclidean parallel postulate holds. An equivalence class of lines is then a set of mutually disjoint lines that cover the point set, normally called a ``line spread'' or more simply a ``spread'' when the context is clear.
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Immersing Projective Spaces [PDF]
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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Journal of Geometry, 2005
A local condition on a planar space is given which is sufficient for its points, lines and planes to be the points, the lines and some subspaces of a projective space.
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A local condition on a planar space is given which is sufficient for its points, lines and planes to be the points, the lines and some subspaces of a projective space.
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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