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학술저널

THE RELATIVE LUSTERNIK-SCHNIRELMANN CATEGORY OF A SUBSET IN A SPACE WITH RESPECT TO A MAP

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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.

Abstract

1. Introduction

2. The relative Lusternik-Schnirelmann Category of a subset in a space with respect to a map

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