  The course was given at Peking University, Fall 2019.
  We discuss the following subjects:
  (1) Introduction to general topology, hyperspaces, metric and pseudometric
spaces, graph theory.
  (2) Graphs in metric spaces, minimum spanning tree, Steiner minimal tree,
Gromov minimal filling.
  (3) Hausdorff distance, Vietoris topology, Limits theory, inheritance of
completeness, total boundedness, compactness by hyperspaces.
  (4) Gromov-Hausdorff distance, triangle inequality, positive definiteness for
isometry classes of compact spaces, counterexample for boundedly compact
spaces.
  (5) Gromov-Hausdorff distance for separable spaces in terms of their
isometric images in \ell_\infty, correspondences, Gromov-Hausdorff distance in
terms of correspondences.
  (6) Epsilon-isometries and Gromov-Hausdorff distance.
  (7) Irreducible correspondences and Gromov-Hausdorff distance.
  (8) Gromov-Hausdorff convergence, inheritance of metric and topological
properties while Gromov-Hausdorff convergence.
  (9) Gromov-Hausdorff space (GH-space), optimal correspondences, existence of
closed optimal correspondences for compact metric spaces, GH-space is geodesic.
  (10) Cover number, packing number, total boundedness, completeness, and
separability of GH-space.
  (11) mst-spectrum in terms of GH-distances to simplexes, Steiner problem in
GH-space.
  (12) GH-distance to simplexes with more points, GH-distance to simplexes with
at most the same number of points.
  (13) Generalized Borsuk problem, solution of Generalized Borsuk problem in
terms of GH-distances, clique covering number and chromatic number of simple
graphs, their dualities, calculating these numbers in terms of GH-distances.
