In my Topology lecture notes, 'n-cell' seems to be mentioned a lot, but it never says what exactly it means. Does it mean $n$-dimensional space?
2026-03-27 03:46:46.1774583206
What is an n-cell?
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It's a homeomorphic copy of the unit ball in $\mathbb{R}^n$. One common way of building/decomposing topological spaces is by starting with $0$-cells (points) and gluing in successively higher dimensional cells along their boundaries. Spaces which can be realized this way are called cell complexes.