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Non-weak cut, shore and non-cut points in Whitney levels
Topology and its Applications ( IF 0.6 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.topol.2020.107335
Idalia-Guadalupe Bautista-Callejas , Mauricio Chacón-Tirado , Raúl Escobedo

Abstract We show that the property of having only non-weak cut points is a Whitney property, and that having only shore points is not a Whitney property. We also note that the property of having only non-cut (non-weak cut, shore) points is not a Whitney reversible property. This complements a result due to E. Matsuhashi.

中文翻译:

惠特尼水平的非弱切割、岸边和非切割点

摘要 我们证明只有非弱割点的性质是惠特尼性质,只有岸点不是惠特尼性质。我们还注意到,只有非切割(非弱切割,岸)点的性质不是惠特尼可逆性质。这补充了 E. Matsuhashi 的结果。
更新日期:2020-09-01
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