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Whitney maps for spaces of embedding hypersurfaces

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Abstract

The existence of Whitney maps is proved, and it is also shown that if X is a metrizable continuum, the Whitney map will be a trivial fibering with its own Hilbert cube.

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Translated from Matematicheskie Zametki, Vol. 52, No. 3, pp. 117–122, September, 1992.

The author wishes to express his gratitude to V. V. Fedorchuk and M. M. Zarichnii for their interest in the present research and for their valuable comments.

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Radul, T.N. Whitney maps for spaces of embedding hypersurfaces. Math Notes 52, 960–964 (1992). https://doi.org/10.1007/BF01209617

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  • DOI: https://doi.org/10.1007/BF01209617

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