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Get Free AccessIn this note, it is shown that there exist two non-syndetically sensitive cascades defined on complete metric spaces whose product is cofinitely sensitive, answering negatively the Question 9.2 posed in Miller and Money (2017) [12]. Moreover, it is shown that there exists a syndetically sensitive semiflow ( G , X ) defined on a complete metric space X such that ( G 1 , X ) is not sensitive for some syndetic closed submonoid G 1 of G, answering negatively the Open question 3 posed in Money (2015) [13] and Question 43 posed in Miller (2017) [8].
Xinxing Wu, Xin Ma, Guanrong Chen, Tianxiu Lu (2019). A note on the sensitivity of semiflows. Topology and its Applications, 271, pp. 107046-107046, DOI: 10.1016/j.topol.2019.107046.
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Type
Article
Year
2019
Authors
4
Datasets
0
Total Files
0
Language
English
Journal
Topology and its Applications
DOI
10.1016/j.topol.2019.107046
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