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Transversality Properties: Primal Sufficient Conditions
The paper studies ‘good arrangements’ (transversality properties) of collections of sets in a normed vector space near a given point in their...
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Primal necessary characterizations of transversality properties
This paper continues the study of general nonlinear transversality properties of collections of sets and focuses on primal necessary (in some cases...
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Dual sufficient characterizations of transversality properties
This paper continues the study of ‘good arrangements’ of collections of sets near a point in their intersection. Our aim is to develop a general...
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Geometric and Metric Characterizations of Transversality Properties
This paper continues the study of ‘good arrangements’ of collections of sets near a point in their intersection. We clarify quantitative relations...
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Topology of 2-knots in ℝ4 and symplectic geometry
We show in this paper that there exists a deep relationship between the differential topology of S 2-knots in ℝ4 and their...