8 problems. Section A — Point Set Topology Closure of an arbitrary union versus the union of the closures A strictly coarser topology on a compact Hausdorff space is compact but not Hausdorff Products of completely Hausdorff spaces are completely Hausdorff A connected locally path-connected space is path-connected — Section A Problem 4 Section B — Homotopy and Homology Fundamental group of the complement of two disjoint lines in \(\RR^3\) Every continuous map \(\RP^2\to S^1\) is homotopic to a constant — Section B Problem 6 A \(\Delta\)-complex structure and homology of \(S^2\vee T^2\) Invariance of dimension for Euclidean spaces Browse these problems in source order