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Topology

Open sets, continuity, compactness, connectedness, and fundamental groups.

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DefinitionMetric Spaces
Topology · topology.tex
A metric space is a set $X$ together with a function $$ \operatorname{dist}: X \times X \to \R $$ called a metric such that the following laws are satisfied: • (Positivity) $\operatorname{dist}(x,y) \ge…