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An extension theorem and domain preservation criteria for multivalued maps. (English) Zbl 0423.55001

MSC:

55M25 Degree, winding number
54C60 Set-valued maps in general topology

Citations:

Zbl 0361.55008
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Full Text: DOI

References:

[1] Yu. B. Zelinskii, ?Local degree for multivalued maps,? Dopov. Akad. Nauk UkrSSR, Ser. A, No. 10, 872-876 (1975).
[2] Yu. Yu. Trokhimchuk, ?Continuous maps of domains of Euclidean space,? Ukr. Mat. Zh.,16, No. 2, 196-211 (1964).
[3] Yu. B. Zelinskii, ?Continuous maps of domains of generalized manifolds,? in: Metric Problems of the Theory of Functions and Maps [in Russian], Vol. 4, Naukova Dumka, Kiev (1973), pp. 79-91.
[4] Yu. Yu. Trokhimchuk and A. V. Bondar’, ?Local degree of a zero-dimensional map,? in: Metric Problems of the Theory of Functions and Maps [in Russian], Vol. 1, Naukova Dumka, Kiev (1969), pp. 221-241.
[5] K. Kuratowski, Topology, Academic Press (1969).
[6] A. Borel, Seminar on Transformation Groups, Annals of Math. Studies No. 46, Princeton (1960). · Zbl 0091.37202
[7] A. Granas and J. W. Jaworowski, ?Some theorems on multivalued mappings of subsets of the Euclidean spaces,? Bull. Acad. Pol. Sci., Ser. Sci. Math. Astron. Phys.,7, No. 5, 277-283 (1959). · Zbl 0089.17902
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