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The Theory of Doubly Periodic Pseudo Tangles
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
Doubly periodic tangles (DP tangles) are configurations of curves embedded in the thickened plane, invariant under translations in two transversal directions. In this paper we exte…
From annular to toroidal pseudo knots
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
In this paper, we extend the theory of planar pseudo knots to the theories of annular and toroidal pseudo knots. Pseudo knots are defined as equivalence classes under Reidemeister-…
Directional Invariants of Doubly Periodic Tangles
Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
In this paper we define novel topological invariants of doubly periodic tangles (DP tangles). DP tangles are embeddings of curves in the thickened plane with translational symmetri…