1999/11/27 by Jacob Mostovoy, Mostovoy, Jacob
Computer Science · Engineering · Mathematics · #11H06 #54B20 #57M25 #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GN #math.GT #msc:11H06 #msc:54B20 #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/9911224
2 pages, 1 figure; a minor error corrected
openalex publication_date 1999/11/27 · arxiv created 1999/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An elementary geometric construction is used to relate the space of lattices in a plane to the space exp3(S1) of the subsets of a circle of cardinality at most 3. As a consequence we obtain new proofs of a theorem of Bott which says that exp3(S1) is homeomorphic to a 3-sphere and a theorem of Shchepin which says that points of exp3(S1) that correspond to one-point subsets form a trefoil knot in this 3-sphere.