On normal crossings in a Banach space |
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| Authors: | Imre Patyi |
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| Institution: | Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303-3083, USA |
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| Abstract: | We show that if A is a closed complex analytic subset of a Banach space X with an unconditional basis (e.g., X=?2) that has only normal crossings for singularities, then the structure and ideal sheaves of A are cohesive sheaves over X, and consequently, they are acyclic over any pseudoconvex open subset of X. |
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| Keywords: | Normal crossing Cohesive sheaf Subvariety of Banach space Cohomology vanishing |
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