2019-06-192019-06-192005Bernal González, L. (2005). Linear Kierst-Szpilrajn theorems. Studia Mathematica, 166, 55-69.0039-32231730-6337https://hdl.handle.net/11441/87529We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There exist a dense linear manifold and a closed infinite-dimensional linear manifold of holomorphic functions in D whose domain of holomorphy is D except for the null function. The existence of a dense linear manifold of noncontinuable functions is also shown in any domain for its full space of holomorphic functions.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Domain of holomorphyUnit diskResidual setDense linear manifoldClosed linear manifoldGgap seriesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.4064/sm166-1-4