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  1. Vor 4 Tagen · The generic procedures for constructing such deloopings of groups (based on torsors, or on descriptions of Eilenberg-MacLane spaces as higher inductive types) are unfortunately equipped with elimination principles which do not directly allow eliminating to untruncated types, and are thus difficult to work with in practice. Here, we construct deloopings of the cyclic groups $\mathbb{Z}_m$ which ...

  2. Vor 4 Tagen · Homotopy groups of spheres. Illustration of how a 2-sphere can be wrapped twice around another 2-sphere. Edges should be identified. In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in ...

  3. Vor 4 Tagen · Im Mai 1999 sind fünf Bergsteiger auf über 8.000 Metern unterwegs, um eines der größten Rätsel der Bergsteiger-Geschichte zu lösen: Die Suchexpedition auf dem Mount Everest will George Mallory, Andrew Irvine und ihre Kamera finden.

  4. Vor 4 Tagen · In the setting of homotopy type theory, each type can be interpreted as a space. Moreover, given an element of a type, i.e. a point in the corresponding space, one can define another type which encodes the space of loops based at this point. In particular, when the type we started with is a groupoid, this loop space is always a group. Conversely, to every group we can associate a type (more ...

  5. Vor 3 Tagen · 35 views 9 months ago. A once popular piece of music which treads the fine line between "light" and "novelty". Richard Eilenberg (1848-1927) was a Berlin based composer of mainly dances and ...

    • 3 Min.
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    • Alan Page
  6. Vor 3 Tagen · EncounterPROOF: Eucharistic Miracles with Father Eilen - YouTube. St Patricks Catholic Church Oak Grove, MN. 1.52K subscribers. Subscribed. 6. 180 views 3 years ago. For more information and the...

    • 3 Min.
    • 158
    • St Patricks Catholic Church Oak Grove, MN
  7. Vor 3 Tagen · 1945 – Saunders Mac Lane and Samuel Eilenberg start category theory. 1945 – Norman Steenrod and Samuel Eilenberg give the Eilenberg–Steenrod axioms for (co-)homology. 1946 – Jean Leray introduces the Spectral sequence. 1947 – George Dantzig publishes the simplex method for linear programming.