摘要 :
It is shown that an irreducible planar space S with v points and π planes such that n~3 ≤ v < (n+ 1)~3 and π ≤ v + n~2 + n for some integer n ≥ 4 exists iff n is a prime power and S either can be embedded in PG(3,n), or S is the affine space AG(3,n) with a generalized protective 3-space at infinity. This result is an analogue to the classification of restricted linear spaces by Totten....
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It is shown that an irreducible planar space S with v points and π planes such that n~3 ≤ v < (n+ 1)~3 and π ≤ v + n~2 + n for some integer n ≥ 4 exists iff n is a prime power and S either can be embedded in PG(3,n), or S is the affine space AG(3,n) with a generalized protective 3-space at infinity. This result is an analogue to the classification of restricted linear spaces by Totten.
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Following the formalism derived from one method of constructing common projective spaces along with using a special kind of odd module homomorphisms, denoted by ν, a novel supergeometric generalization of projective spaces is con...
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Following the formalism derived from one method of constructing common projective spaces along with using a special kind of odd module homomorphisms, denoted by ν, a novel supergeometric generalization of projective spaces is constructed. Existence of canonical line bundles over these spaces and their Chern classes are discussed.
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摘要 :
Following the formalism derived from one method of constructing common projective spaces along with using a special kind of odd module homomorphisms, denoted by ν, a novel supergeometric generalization of projective spaces is con...
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Following the formalism derived from one method of constructing common projective spaces along with using a special kind of odd module homomorphisms, denoted by ν, a novel supergeometric generalization of projective spaces is constructed. Existence of canonical line bundles over these spaces and their Chern classes are discussed.
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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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Let P be a topological property. A.V. Arhangel'skii calls X projectively P if every second countable continuous image of X is P. Lj.D.R. KoCinac characterized the classical covering properties of Menger, Rothberger, Hurewicz and G...
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Let P be a topological property. A.V. Arhangel'skii calls X projectively P if every second countable continuous image of X is P. Lj.D.R. KoCinac characterized the classical covering properties of Menger, Rothberger, Hurewicz and Gerlits-Nagy in term of continuous images in R-omega. In this paper we study the functional characterizations of all projective versions of the selection properties in the Scheepers Diagram. (C) 2020 Elsevier B.V. All rights reserved.
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In classical projective algebraic geometry, P-n was seen mainly as a linear subspace. The modern setting has produced in the last 40 years several remarkable abstract characterizations of projective space. We survey some interacti...
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In classical projective algebraic geometry, P-n was seen mainly as a linear subspace. The modern setting has produced in the last 40 years several remarkable abstract characterizations of projective space. We survey some interaction between these two points of view.
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One of the most interesting results about finite matroids of finite rank and generalized projective spaces is the result of Basterfield, Kelly and Green (1968/1970) (J.G. Basterfield, L.M. Kelly, A characterization of sets of n po...
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One of the most interesting results about finite matroids of finite rank and generalized projective spaces is the result of Basterfield, Kelly and Green (1968/1970) (J.G. Basterfield, L.M. Kelly, A characterization of sets of n points which determine n hyperplanes, in: Proceedings of the Cambridge Philosophical Society, vol. 64, 1968, pp. 585-588; C. Greene, A rank inequality for finite geometric lattices, J. Combin Theory 9 (1970) 357-364) affirming that any matroid contains at least as many hyperplanes as points, with equality in the case of generalized projective spaces. Consequently, the goal is to characterize and classify all matroids containing more hyperplanes than points. In 1996, I obtained the classification of all finite matroids containing one more hyperplane than points. In this paper a complete classification of finite matroids with two more hyperplanes than points is obtained. Moreover, a partial contribution to the classification of those matroids containing a certain number of hyperplanes more than points is presented.
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The problem of determining a suitable map projection for side-looking synthetic aperture radar (SAR) satellite imagery is examined. Using a foundation in dynamic mathematics, a new Space Oblique Conic (SOC) projection is proposed ...
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The problem of determining a suitable map projection for side-looking synthetic aperture radar (SAR) satellite imagery is examined. Using a foundation in dynamic mathematics, a new Space Oblique Conic (SOC) projection is proposed that is specifically designed for a side-looking radar imagery. The geometric model of SOC is formalized, and the projection of the central line of a side-looking field of view is established based on this model. The forward and inverse formulas for the SOC projection are derived and the projection's pattern of distortion is discussed. As an example, SEASAT-A radar imagery is considered, and a particular SOC projection model for this satellite derived.
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