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Foliations of 2-complexes. (Feuilletages de 2-complexes.) (French) Zbl 1025.57009
From the text: We study the existence of transversally oriented foliations with compact graphs on special 2-polyhedra, and its implications on the fundamental group of the complex. The criterion we give here allows us to detect the mapping-tori of continuous graph-maps, which induce injective, not necessarily surjective endomorphisms on the fundamental group of the graph. We also establish a relationship between so-called “annular” 2-complexes and Seifert manifolds with boundary.

MSC:
57M20 Two-dimensional complexes (manifolds) (MSC2010)
57R30 Foliations in differential topology; geometric theory
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