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- W2056936424 abstract "Abstract As a sequel of [4], this paper is devoted to the computation of the digital fundamental group πd1(O/S;σ) defined by loops in the digital object O for which the digital object S acts as an “obstacle”. We prove that for arbitrary digital spaces the group πd1(O/S;σ) maps onto the usual fundamental group of the difference of continuous analogues ∣ A O∪S∣ − ∣ A S∣. Moreover, we show that this epimorphism turns to be an isomorphism for a large class of digital spaces including most of the examples in digital topology." @default.
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- W2056936424 date "2001-08-01" @default.
- W2056936424 modified "2023-10-16" @default.
- W2056936424 title "Digital Homotopy with Obstacles1 1This work has been partially supported by the projects DGES PB96-1374 and DGES TIC2000-1368-C03-01." @default.
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- W2056936424 doi "https://doi.org/10.1016/s1571-0661(04)80980-0" @default.
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