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arXiv · 1611.04787

About subtransversality of collections of sets

Alexander Y. Kruger·D. Russell Luke·Nguyen H. Thao
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Abstract

We provide dual sufficient conditions for subtransversality of collections of sets in an Asplund space setting. For the convex case, we formulate a necessary and sufficient dual criterion of subtransversality in general Banach spaces. Our more general results suggest an intermediate notion of subtransversality, what we call weak intrinsic subtransversality, which lies between intrinsic transversality and subtransversality in Asplund spaces.

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Alexander Y. Kruger, D. Russell Luke, Nguyen H. Thao. 2016-11-15. About subtransversality of collections of sets. https://doi.org/10.1007/s11228-017-0436-5

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