THE CONTINUITY AND THE IMPORTANT THEOREMS IN THE TOPOLOGICAL KNOWLEDGE SPACES

Abstract

In this study my goal is to define the concept of continuity and to uncover its important in the topological knowledge space. Moreover, I introduce pedagogically sound concept of continuity for the topological knowledge structure modeling a students’ learning and the important theorems are proofed. Indeed, some definitions are presented and theorems are proofed. Consequently, it is proofed that in the topological knowledge spaces as a result of continuity well-graded, learning smooth and accessible have been kept in continuity. Thus, a minimal set of requirements for a knowledge structure whose emphasis is the modeling of students' learning can be described as a minimal set of requirements for making up a different knowledge space.

Keywords: Continuity, topological knowledge, topological spaces

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