Dicovering Spaces

@inproceedings{Fajstrup2003DicoveringS,
  title={Dicovering Spaces},
  author={Lisbeth Fajstrup},
  year={2003}
}
For a local po-space X and a base point x0 ∈ X, we define the universal dicovering space Π : X̃x0 → X. The image of Π is the future ↑ x0 of x0 in X and X̃x0 is a local po-space such that | π 1 (X̃, [x0], x1)| = 1 for the constant dipath [x0] ∈ Π−1(x0) and x1 ∈ X̃x0 . Moreover, dipaths and dihomotopies of dipaths (with a fixed starting point) in ↑ x0 lift uniquely to X̃x0 . The fibers Π −1(x) are discrete, but the cardinality is not constant. We define dicoverings P : X̂ → Xx0 and construct a… CONTINUE READING

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The Geometry of Concurrency

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2 Excerpts

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