---
tag: TZD8S42Q6C
kind: concept
name: Homogeneously Suslin set
sources:
  - wikipedia: en:9104690@r1211748617
    locator: Homogeneously Suslin set
    note: adopted
    mention: wikipedia://en/9104690
    sections: [Summary]
same_as:
  wikidata: Q16965550
  wikipedia: Homogeneously Suslin set
inventory: [3D2SM9DK57]
---

## Summary

In descriptive set theory, a set $S$ is said to be **homogeneously Suslin** if it is the projection of a homogeneous tree. $S$ is said to be **$\kappa$-homogeneously Suslin** if it is the projection of a $\kappa$-homogeneous tree.