2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122310We 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.16 pagesComplex Variables32F10 (Primary) 32L10 (Secondary)Cohomology of semi 1-coronae and extension of analytic subsetstext