Podcast
Telescope topology — the podcast
We look at an important recent result exploring higher-dimensional holes in higher-dimensional spheres.
Content about “ homotopy
”
Article
Spheres within spheres: A journey through many dimensions
We guide you through an exciting recent breakthrough in the world of topology, involving something called the telescope conjecture.
Collection
Telescope topology
This collection of articles explores a recent, exciting breakthrough in the field of topology.
Article
Spheres within spheres: Simplicity and failure
We continue our exploration of the telescope conjecture.
Article
Maths in a minute: Homotopy
The concept of homotopy is a great example of how the language of maths can make intuition precise.
Article
The shape of things to come
Progress in pure mathematics has its own tempo. Major questions may remain open for decades, even centuries, and once an answer has been found, it can take a collaborative effort of many mathematicians in the field to check
that it is correct. The New Contexts for Stable Homotopy Theory programme, held at the Institute in 2002, is a prime example of how its research programmes can benefit researchers and its lead to landmark results.