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  • Content about “dimension”

    Collection
    Orange

    The Kervaire invariant problem

    Explore our content on a long-standing problem in topology that has only recently been solved.

    Referenced articles
    Zhouli Xu
    Orange
    triangle
    3-sphere
    Sphere
    Article
    Orange

    Hunting strange shapes in higher dimensions

    Want to expand your horizon? Then discover one of the hardest problems in algebraic topology which has only recently been solved: the Kervaire invariant problem.

    Podcast
    Zhouli Xu

    Living proof: Hunting through higher dimensions with Zhouli Xu

    Zhouli Xu takes us on a trip into higher dimensions, retracing some of the journey towards a proof of the Kervaire invariant problem.

    Article
    A torus cut open

    Hunting strange shapes in higher dimensions: Continued

    We continue our journey towards a proof of the Kervaire invariant problem.

    Article
    Sphere

    Maths in a minute: The Poincaré conjecture

    We explore a famous problem which shaped 20th century topology. 

    Article
    3-sphere

    The hypersphere in four dimensions

    We can't visualise it, but we can still think about it! And there are clever ways of glimpsing what it might look like.

    Article
    koch snowflake

    How to compute the dimension of a fractal

    Find out what it means for a shape to have fractional dimension.

    Podcast

    How many dimensions are there?

    More than you think! In this episode of our podcast we talk to theoretical physicist David Berman to find out more...
    Podcast

    Telescope topology — the podcast

    We look at an important recent result exploring higher-dimensional holes in higher-dimensional spheres.

    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.

    Article

    Spheres within spheres: Simplicity and failure

    We continue our exploration of the telescope conjecture.
    Article

    Maths in a minute: Higher dimensions

    In normal life higher dimensions smack of science fiction, but in mathematics they are nothing out of the ordinary.

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