Generalized manifolds ANR's and AR's and null decompositions of manifolds
S. Singh (1983)
Fundamenta Mathematicae
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S. Singh (1983)
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S. Singh (1981)
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Anderson, R. D.
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James Cannon, David Wright (1980)
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Witold Rosicki (1990)
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William Haver (1979)
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Katsuro Sakai (1978)
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Witold Rosicki (1987)
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H. Toruńczyk (1985)
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Denise Halverson, Dušan Repovš (2013)
Open Mathematics
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We show that all finite-dimensional resolvable generalized manifolds with the piecewise disjoint arc-disk property are codimension one manifold factors. We then show how the piecewise disjoint arc-disk property and other general position properties that detect codimension one manifold factors are related. We also note that in every example presently known to the authors of a codimension one manifold factor of dimension n ≥ 4 determined by general position properties, the piecewise disjoint...