nLab infinity

Idea

Infinity ($\infty$) is a concept with various interpretations. The common theme is that $\infty$ is larger than whatever is usual in a given context; the usual stuff being called finite in contrast. Typically, this means larger than any natural number (although one sometimes considers infinite nonstandard natural numbers on the one hand, or considers infinity to be beyond a given class of transfinite ordinals on the other hand).

Concepts of infinity

• infinite number
• infinite set
• infinite cardinality?
• transfinite ordinal?
• nonstandard natural number
• extended real number
• topological end (see also vanishing at infinity)
• infinity-groupoid
• (infinity,1)-category
• (infinity,n)-category
• infinity-category
• infinitely differentiable map (see also analytic map)

category: disambiguation