---
date: 2022-02-15 19:20
modification date: Tuesday 15th February 2022 19:20:12
title: topological stack
aliases: [topological stacks, topological groupoid]

---

Last modified date: <%+ tp.file.last_modified_date() %>

---

- Tags: 
	- #todo/untagged
- Refs:
	- [D.S. Metzler, Topological and smooth stacks, math.DG/0306176, 2003](https://arxiv.org/abs/math/0306176)
	- [B. Noohi, Foundations of topological stacks, math.AG/0503247, 2005. ](http://arxiv.org/abs/math/0503247) 
	- [B. Noohi, Homotopy types of topological stacks, arXiv:0808.3799, 2008](http://arxiv.org/abs/0808.3799)
- Links:
	- #todo/create-links 

---

# topological stack

![Image](https://pbs.twimg.com/media/FLbtQZbWYAEV2q-?format=jpg&name=medium)

![](attachments/Pasted%20image%2020220502180229.png)

# Motivations

![](attachments/Pasted%20image%2020220502180301.png)
![](attachments/Pasted%20image%2020220502180309.png)

# Homotopy theory

![](attachments/Pasted%20image%2020220503125546.png)

# Topological groupoid

![](attachments/Pasted%20image%2020220510153746.png)