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Computational topology is the study of decidability problems in topology and the algorithms that determine decidability. Examples of area of study include Normal Surface theory and the subproblems of unknot and $S^3$ recognition.

11 votes

Computational software in Algebraic Topology?

(1) The Computational Homology Project offers free software CHomP that will compute homology of simplicial complexes, at least with finite field coefficients. (2) Dionysus, from the computational top …
Matthew Kahle's user avatar
6 votes

Is being simply connected very rare?

The following does not answer your question, but adding just in case it is helpful. If you weaken "simply connected" to $H_1(\Delta, \mathbb{Q}) = 0$, and weaken "every vertex is in a bounded number o …
Matthew Kahle's user avatar