The Kerekjarto-Stoilow compactification of surfaces

Goal: Understand the Kerekjarto-Stoilow compactification of surfaces as an example of the more general Freudenthal (a.k.a. end) compactification of manifolds.

Supervisor: Mirela Babalic

References:

 I. Richards, "On the Classfication of noncompact surfaces", Transactions of the AMS, 106 (1963), 259-269.

 G. Peschke, "The Theory of Ends", Nieuw Archief voor Wiskunde, 8 (1990), 1-12.

 B. Kerekjarto, "Vorlesungen über Topologie I", Springer, Berlin, 1923.

S. Stoilow, "Leçons sur les principes topologiques de la théorie des fonctions analytiques", Gauthier-Villars, Paris, 1956.

H. Freudenthal, "Über die Enden topologischer Räume und Gruppen", Mathematische Zeitschrift 33 (1931) 692-713.