Topology (from the Greek topos, topos, and logos, "study") is an area of Mathematics devoted to the study of properties that are preserved by continuous deformations, such as stretching and bending, but not tearing and gluing. Two important topological properties are compactness — in a very vague way, a compact space is a space in which certain infinite processes admit finite equivalents — and connectedness, which abstracts the idea of being constituted by a single "piece."


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