Homotopy groups of symmetric products
Abstract
In this paper we prove that, taking X a Hausdorff topological space, the homotopy groups of the spaces SPm(X) and Fm(X), both called symmetric products, are monomorphic. We also introduce a new algebraic tool in topology: the discontinuous homotopy groups.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.