The Gromov--Guth--Whitney embedding theorem
Fedor Manin, Shmuel Weinberger
TL;DR
This paper discusses an improved version of the Gromov-Guth-Whitney embedding theorem, providing a near-sharp result as an appendix to a related work on quantitative null-cobordism.
Contribution
It offers a near-sharp enhancement of the Gromov-Guth-Whitney embedding theorem, building upon prior results in a non-self-contained appendix.
Findings
Improved embedding bounds close to optimal
Enhanced understanding of embedding dimension constraints
Refinement of previous embedding theorems
Abstract
This is an appendix to arXiv:1610.04888, "Quantitative null-cobordism", which improves one of the main results of that paper to a near-sharp one. It is not a self-contained paper.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory