A note on 3-D simple points and simple-equivalence

Abstract : In this paper, we prove that in a particular case, a 3-D point can be removed while preserving topology if and only if it is a simple point. This property holds in the case of simply connected objects, that is, connected objects which have no tunnels.
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Gilles Bertrand, Michel Couprie, Nicolas Passat. A note on 3-D simple points and simple-equivalence. Information Processing Letters, Elsevier, 2009, 109 (13), pp.700-704. ⟨10.1016/j.ipl.2009.03.002⟩. ⟨hal-00622395⟩

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