### Topology

**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."

Sub-categories

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