A note on induced mappings |
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| Author |
mak@math.uni.opole.pl
Opole University, Institute of
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| Abstract |
Hosokawa gave an example of an open mapping $f$ between continua
such that the induced mapping $C(f)$ between hyperspaces of all subcontinua
is not open. In this note we show a much simpler example than one of Hosokawa.
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| Keywords |
open mapping between continua, hyperspaces of subcontinua, non-open induced mapping, simpler counterexample, continuum theory
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| DOI |
doi:10.30970/ms.11.2.219-220
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Reference |
1. H. Hosokawa Induced mappings between hyperspaces // Bull. Tokyo Gakugei Univ. Sect. V. 4 № 41 – 1989 p. 1–6
2. H. Hosokawa Induced mappings on hyperspaces // Tsukuba J. Math. V. 21 № 1 – 1997 3. S.B. Nadler, Jr. Hyperspaces of sets , Marcel Dekker Inc. ,addr New York – 1978 |
| Pages |
219-220
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| Volume |
11
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| Issue |
2
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
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