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Article
A classification of totally F-umbilical submanifolds of an S-manifold
(Soochow University, Department of Mathematics, 1992-04)
In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
Article
Lusternik-Schnirelmann invariants in proper homotopy theory
(University of California, 1992)
We introduce and study proper homotopy invariants of the Lusternik-Schnirelmann type, p-cat (-), p-Cat(-), and cat e(-) in the category of Γ2-locally compact spaces and proper maps. As an application, Rn (n Φ 3) is ...
Article
A note on the homotopical characterization of Rn
(Universitat de Barcelona, 1992)
This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of Rn (n ≥ 4) can be derived from the Poincaré ...