Lusternik-Schnirelmann category and minimal coverings with contractible sets |
| |
| Authors: | Mónica Clapp Luis Montejano |
| |
| Institution: | (1) Instituto de Matemáticas de la U.N.A.M., Circuito Exterior, Cd. Universitaria, 04510 México, D.F., Mexico |
| |
| Abstract: | We show that the difference between the smallest number gcat(X) of contractible sets which cover a space X and its Lusternik-Schnirelmann category may be arbitrarily large. We also show that gcat (X) is far away from being a homotopy invariant. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
