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Defining Continuous Functions in Topology | conceptual math | topology | lecturer math
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In this video, we delve into the definition of continuous functions within the framework of topology. You'll discover that in topology, continuity is defined in terms of open sets: a function is continuous if the preimage of an open set is open. This definition provides a more general and versatile understanding of continuity compared to the epsilon-delta definition commonly used in calculus. Join us as we explore the foundations of continuity in topology.
In this video, we delve into the definition of continuous functions within the framework of topology. You'll discover that in topology, continuity is defined in terms of open sets: a function is continuous if the preimage of an open set is open. This definition provides a more general and versatile understanding of continuity compared to the epsilon-delta definition commonly used in calculus. Join us as we explore the foundations of continuity in topology.