Results 11 to 20 of about 704 (148)
THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$ [PDF]
Forum of Mathematics, Sigma, 2016 The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
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Union of Convex Hilbert Cubes [PDF]
Proceedings of the American Mathematical Society, 1977 We show that the finite union of Keller cubes in a Hilbert space is homeomorphic to the Hilbert cube provided every subcollection intersects in a Hilbert cube.
Quinn, J., Wong, Raymond Y. T.
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Stable Maps into the Hilbert Cube [PDF]
Proceedings of the American Mathematical Society, 1988 A map into the Hilbert cube is stable if each composition with projection onto a finite number of factors is stable. We prove that a map from a compact metric space into the Hilbert cube is stable if and only if it is universal. As a consequence, the composition of a stable map with any self homeomorphism of the Hilbert cube is also stable.
Garity, Dennis J., Rohm, Dale M.
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Multiplicative Properties of Hilbert Cubes
SIAM Journal on Discrete Mathematics, 2022 We obtain upper bounds on the cardinality of Hilbert cubes in finite fields, which avoid large product sets and reciprocals of sum sets. In particular, our results replace recent estimates of N. Hegyvári and P. P. Pach (2020), which appear to be void for all admissible parameters. Our approach is different from that of N. Hegyvári and P. P. Pach and is
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The union of two Hilbert cubes meeting in a Hilbert cube need not be a Hilbert cube [PDF]
Proceedings of the American Mathematical Society, 1977 An example is given to verify the assertion of the title.
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Transactions of the American Mathematical Society, 1975 This paper gives a partial solution to the problem whether the union of two Hilbert cubes is a Hilbert cube if the intersection is a Hilbert cube and a Z -set in one of them. Our results imply West’s Intermediate Sum Theorem on Hilbert cube factors. Also a technique is developed to obtain
Wong, Raymond Y. T., Kroonenberg, Nelly
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How many three-dimensional Hilbert curves are there?
Journal of Computational Geometry, 2017 Hilbert's two-dimensional space-filling curve is appreciated for its good locality-preserving properties and easy implementation for many applications. However, Hilbert did not describe how to generalize his construction to higher dimensions.
Herman Haverkort
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Flat Hilbert cube manifold pairs [PDF]
Pacific Journal of Mathematics, 1984 The concept of flatness of embeddings is sensible in both Q-manifold theory and PL manifold theory. Here the author makes a connection between these two notions, using as a bridge the idea of a QPL embedding: if M and N are PL manifolds, an embedding \(f: N\times Q\to M\times Q\) is a QPL (QPL-flat) embedding if there exists a PL (PL flat) embedding ...
Garity, Dennis J., Wright, David G.
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Trivial I^τ -fibrations of the multiplication maps for monads O, OH and OS [PDF]
Математичні Студії, 2012 In this paper we investigate when the multiplication maps of monads O, OH and OS are trivial fibrations with fibers homeomorphic to a Tychonov cube or a Hilbert cube.
L. I. Karchevska, T. M. Radul
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Two extensions of Hilbert’s cube lemma
, 2022 See the abstract in the attached pdf.
Brown, Tom C., Mohsenipour, Shahram
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