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An elementary solution of the monotone mapping problem. (English) Zbl 0409.54017

MSC:

54C10 Special maps on topological spaces (open, closed, perfect, etc.)
57N10 Topology of general \(3\)-manifolds (MSC2010)
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References:

[1] R. H. Bing, The monotone mapping problem, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969), Markham, Chicago, Ill., 1970, pp. 99 – 115.
[2] R. H. Bing and Joseph Martin, One-to-one maps of \( E_ + ^3\), Proc. Binghamton Topology Conf., 1972.
[3] L. C. Glaser, Dimension lowering monotone non-compact mappings of \?\(^{n}\), Fund. Math. 58 (1966), 177 – 181. · Zbl 0139.40601
[4] L. C. Glaser, Monotone noncompact mappings of \?^{\?} onto \?^{\?} for \?\ge 4 and \?\ge 3, Proc. Amer. Math. Soc. 23 (1969), 282 – 286. · Zbl 0182.56801
[5] G. T. Whyburn, Compactness of cetain mappings, Amer. J. Math. 81 (1959), 306 – 314. · Zbl 0088.15101
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