Connectedness in Topological Spaces
James Keays
Abstract
James Keays
Abstract
Connectedness is a concept important in the establishment of a rigorous foundation for Analysis. For this reason it is a topic of major concern in Topology. Connectedness serves as the basis for the Intermediate-value Theorem and is an important condition in Cauchy's Theorem and in all theorems making use of the concept of a line integral.
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Connectedness is a concept important in the establishment of a rigorous foundation for Analysis. For this reason it is a topic of major concern in Topology. Connectedness serves as the basis for the Intermediate-value Theorem and is an important condition in Cauchy's Theorem and in all theorems making use of the concept of a line integral.
Key concepts: Social connectedness, Topological space, Topology (electrical circuits), Geography, Mathematics, Pure mathematics, Combinatorics, Psychology