Geodesic
On foliations in Sikorski differential spaces with Brouwerian leaves
Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 179-182

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The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈ F. 
Włodzimierz Waliszewski. On foliations in Sikorski differential spaces with Brouwerian leaves. Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 179-182. doi: 10.4064/ap-54-2-179-182
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