We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-5, author = {Jonathan Beardsley and Piotr Mikusi\'nski}, title = {A sheaf of Boehmians}, journal = {Annales Polonici Mathematici}, volume = {107}, year = {2013}, pages = {293-307}, zbl = {1275.46027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-5} }
Jonathan Beardsley; Piotr Mikusiński. A sheaf of Boehmians. Annales Polonici Mathematici, Tome 107 (2013) pp. 293-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-5/