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math.GN2004
Long line knots
Mathieu Baillif, David Cimasoni
We study continuous embeddings of the long line L into L^n (n>1) up to ambient isotopy of L^n. We define the direction of an embedding and show that it is (almost) a complete invar…
math.GN2004
The homotopy classes of continuous maps between some non-metrizable manifolds
Mathieu Baillif
Let R be Alexandroff's long ray. We prove that the homotopy classes of continuous maps R^n \to R are in bijection with the antichains of P({1,...,n}). The proof uses partition prop…