analysis (differential/integral calculus, functional analysis, topology)
metric space, normed vector space
open ball, open subset, neighbourhood
convergence, limit of a sequence
compactness, sequential compactness
continuous metric space valued function on compact metric space is uniformly continuous
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higher geometry / derived geometry
geometric little (∞,1)-toposes
geometric big (∞,1)-toposes
function algebras on ∞-stacks?
derived smooth geometry
Given a metric space and a point , then the unit sphere is the subset of those points with unit distance from :
In the Euclidean space of dimension , the unit sphere is the usual (n-1)-sphere . For this is the unit circle, for the unit 2-sphere and so on.
Last revised on November 22, 2017 at 07:08:04. See the history of this page for a list of all contributions to it.