APS of all manifolds

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[edit] Definition

The APS of all manifolds is defined as the following set-theoretic APS:

  • The Failed to parse (Can't write to or create math temp directory): n^{th}
member is the set of all connected topological manifolds of dimension Failed to parse (Can't write to or create math temp directory): n

, upto topological homeomorphism

  • The block concatenation map takes two topological manifolds and returns the product manifold

The APS of all manifolds is commutative. it is not clear whether it is cancellative.

[edit] Related notions

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