2016/03/22 by Pavle V. M. Blagojević, Blagojević, Pavle V. M., Роман Карасев +1 · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1603.06723
Let M and N be smooth (real or complex) manifolds, and let M be equipped with some Riemannian metric. A continuous map f\colon M\longrightarrow N admits a local k-multiplicity if, for every real number ω>0, there exist k pairwise distinct points x1,…,xk in M such that f(x1)=⋯=f(xk) and \diam\x1,…,xk\