---
date: 2021-10-21 18:42
modification date: Saturday 23rd October 2021 23:00:17
title: stable homotopy
aliases: [stable homotopy]

---


---

- Tags 
	- #todo #MOC #homotopy/stable-homotopy 
- Refs:
	- A very short overview: <https://kodyvajjha.github.io/images/Overview_of_Homotopy_Theory.pdf#page=1>
- Links:
	- [cohomology theory](Unsorted/cohomology%20theory.md)
	- [structured ring spectrum](structured%20ring%20spectrum)
	- [string manifold](string%20manifold)
	- [modular form](Unsorted/modular%20form.md)
	- [elliptic curves](MOCs/elliptic%20curve.md)
	- [Elliptic cohomology](Unsorted/Elliptic%20cohomology.md)
	- [tmf](tmf)
	- [chromatic](Unsorted/chromatic%20homotopy%20theory.md)
	- [equivariant homotopy theory](equivariant%20homotopy%20theory)
	- [Unsorted/nilpotent completion](Unsorted/nilpotent%20completion.md)

---

# stable homotopy

![](attachments/Pasted%20image%2020220525150417.png)

# Basic Tools
- [basic tools in homotopy of spaces](basic%20tools%20in%20homotopy%20of%20spaces.md)
- [basic topics in stable homotopy theory](basic%20topics%20in%20stable%20homotopy%20theory.md).


# Subfields

- [chromatic homotopy](chromatic%20homotopy%20theory.md)
- [equivariant stable homotopy](equivariant%20stable%20homotopy%20theory.md)
- [motivic homotopy](motivic%20homotopy.md)


# Topics
- [operad](operad.md)
- [Goodwillie calculus](Goodwillie%20calculus.md)
- [infinity categories](infinity%20categories.md)


# Current Problems/Research
- [redshift](redshift)
- [The generating hypothesis](The%20generating%20hypothesis)
- [The telescope conjecture](The%20telescope%20conjecture)

# Misc

- [Unsorted/finite spectrum](Unsorted/finite%20spectrum.md)