Authors: | Blagojević, Pavle Lück, Wolfgang Ziegler, Günter |
Title: | On highly regular embeddings |
Journal: | Transactions of the American Mathematical Society |
Volume: | 368 |
Issue: | 4 |
First page: | 2891 |
Last page: | 2912 |
Issue Date: | 1-Apr-2016 |
Rank: | M21a |
ISSN: | 0002-9947 |
DOI: | 10.1090/tran/6559 |
Abstract: | A continuous map Rd → RN is k-regular if it maps any k pairwise distinct points to k linearly independent vectors. Our main result on k-regular maps is the following lower bound for the existence of such maps between Euclidean spaces, in which α(k) denotes the number of ones in the dyadic expansion of k: For d ≥ 1 and k ≥ 1 there is no k-regular map Rd → RN for N |
Publisher: | American Mathematical Society |
Project: | Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security |
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