Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 11 Issue 1
- /
- Pages.1-12
- /
- 1998
- /
- 1226-3524(pISSN)
- /
- 2383-6245(eISSN)
THE RELATIVE LUSTERNIK-SCHNIRELMANN CATEGORY OF A SUBSET IN A SPACE WITH RESPECT TO A MAP
- Moon, Eun Ju (Department of Mathematics Hannam University) ;
- Hur, Chang Kyu (Department of Mathematics Hannam University) ;
- Yoon, Yeon Soo (Department of Mathematics Hannam University)
- Received : 1997.11.20
- Published : 1998.07.31
Abstract
In this paper we shall define a relative Lusternik-Schnirelmann category of a subset in a space with respect to a map which generalizes the category of a space, the category of a map and the relative category of a subset in a space. We shall study some properties of the relative Lusternik-Schnirelmann category of a subset in a space with respect to a map and generalize many results of the above categories.