On the hyperspace of subcontinua of a finite graph, II
R. Duda (1968)
Fundamenta Mathematicae
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R. Duda (1968)
Fundamenta Mathematicae
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M. R. Casali (1997)
Revista Matemática de la Universidad Complutense de Madrid
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Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.
Lev Birbrair, Alexandre C. G. Fernandes (2000)
Revista Matemática Complutense
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We present a complete bi-Lipschitz classification of germs of semialgebraic curves (semialgebraic sets of the dimension one). For this purpose we introduce the so-called Hölder Semicomplex, a bi-Lipschitz invariant. Hölder Semicomplex is the collection of all first exponents of Newton-Puiseux expansions, for all pairs of branches of a curve. We prove that two germs of curves are bi-Lipschitz equivalent if and only if the corresponding Hölder Semicomplexes are isomorphic. We also prove...
Anton Kotzig (1964)
Matematicko-fyzikálny časopis
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Ernest Jucovič, Sergej Ševec, Marián Trenkler (1997)
Mathematica Slovaca
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