Cubical Sets

This page discusses a cubical version of simplicial sets. Simplicial sets are described on the page here.

Face Maps

These maps go from dimension n+1 dimension n. That is they send a (hyper)cube to one of its faces.


Degeneracy Maps

These maps go in the opposite direction and increase the dimention. That is they add an index.




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Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

flag flag flag flag flag flag Mathematics++: Selected Topics Beyond the Basic Courses (Student Mathematical Library) Kantor, Ida.


  1. Measure
  2. High Dimensional Geometry
  3. Fourier Analysis
  4. Representations of Finite Groups
  5. Polynomials
  6. Topology

Chapter 6 - Topology. Contains a relatively gentle introduction to homology.


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