nLab m-finite spaces

Redirected from "m-finite space".
Contents

Context

Additive and abelian categories

(,1)(\infty,1)-Category theory

Limits and colimits

Contents

Definition

Definition

A connected space XX is mm-finite for mm \in \mathbb{N} if

  • XX is m-truncated, and

  • π k(X)\pi_k(X) is finite, and for all kk.

A space is mm-finite if it’s a finite disjoint union of mm-finite connected spaces; a space is π\pi-finite if it’s mm-finite for some mm \in \mathbb{N}.

References

Created on April 19, 2024 at 16:42:49. See the history of this page for a list of all contributions to it.