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Cohomology of semi 1-coronae and extension of analytic subsets

2007/01/19 by Alberto Saracco, Saracco, Alberto, Giuseppe Tomassini +1
Mathematics · #32F10 (Primary) 32L10 (Secondary) #Advanced Topology and Set Theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Homotopy and Cohomology in Algebraic Topology #math.CV #msc:32F10 #msc:32L10

paper · pdf · doi:10.48550/arxiv.math/0701549

16 pages

arxiv created 2007/01/19 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize some of the results in [arXiv: math.CV/0503430], and prove a bump-lemma for closed sets in semi 1-coronae. From this we obtain some finite cohomology results and an extension theorem for analytic subsets in 1-coronae.

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