Strongly path-confluent mappings

Abstract

In this paper, we introduce a new class of path-confluent mapping, called strongly path-confluent maps. We discuss and study some characterizations and some basic properties of this class of mappings. Relations between this class and some other existing classes of mappings are also obtained. Also we study some operations on this class of mappings, such as: composition property, composition factor property, component restriction property and path-component restriction property.

Keywords

• Continuum
• Connectedness
• Components
• Path-components
• Quasi-components
• Confluent maps
• Path-confluent maps
• Quasi- confluent maps
• Strongly confluent maps
• Strongly path-confluent maps