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- W2031567376 abstract "A homeomorphism h of Euclidean space onto itself is a quasi-translation if h is regular at each point and the extension of h to the one-point compactification fails to be regular at ∞. Necessary and sufficient conditions are given for a quasi-translation to be topologically equivalent to the translation of three dimensional Euclidean space. Central to these investigations is the study of the structure of the orbit spaces. For example, it is shown that an irreducible orientable open 3-manifold, whose fundamental group contains no subgroup isomorphic to the fundamental group of a closed orientable surface of positive genus, can be expressed as the monotone union of cubes-with-handles." @default.
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- W2031567376 date "1972-12-01" @default.
- W2031567376 modified "2023-09-27" @default.
- W2031567376 title "Translations and quasi-translations in E3" @default.
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- W2031567376 doi "https://doi.org/10.1016/0016-660x(72)90025-6" @default.
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