×

The topological properties of mappings with limited distortion. (English. Russian original) Zbl 0262.54006

Sib. Math. J. 12, 339-341 (1971); translation from Sib. Mat. Zh. 12, 473-476 (1971).

MSC:

54C10 Special maps on topological spaces (open, closed, perfect, etc.)
55M25 Degree, winding number
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] P. S. Aleksandrov, Combinatorial Topology [in Russian], Gostekhizdat, Moscow (1947). Vol. 1 available in English from Graylock Press, Rochester, New York (1956).
[2] Yu. G. Reshetnyak, ?Space mappings with limited distortion,? Sibirsk. Matem. Zh.,8, No. 3, 629-658 (1967).
[3] Yu. G. Reshetnyak, ?The limiting conditions of an index for mappings with limited distortion,? Sibirsk. Matem. Zh.,9, No. 2, 368-374 (1968).
[4] Yu. Yu. Trokhimchuk and A. V. Bondar’, ?The local degree of zero dimensional mappings,? Metrical Problems of the Theory of Functions and Mappings [in Russian], 1st edition, Naukova Dumka (1969), pp. 221-241.
[5] A. V. Chernavskii, Addendum to ?Finite order open mappings of sets,? Matem. Sb.,66, No. 3 471-472 (1965).
[6] V. Gurevich and G. Volmen, Measure Theory [in Russian], IL, Moscow (1949).
[7] C. F. Titus and G. S. Giung, ?The extension of interiority, with some applications,? Trans. Amer. Math. Soc.,103, 329-340 (1962). · Zbl 0113.38001 · doi:10.1090/S0002-9947-1962-0137103-6
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.