Paxia, Giuseppe; Sergio, Irene On the connectedness of some topological spaces. (English) Zbl 0739.53057 Cah. Topologie Géom. Différ. Catég. 30, No. 1, 83-91 (1989). Summary: Cet article étudie une propriété de connexité pour les espaces topologiques. Dans un espace topologique \(X\) avec un nombre fini de composantes irréductibles, sans polygones, l’intersection de deux ouverts connexes \({\mathcal U}\) et \({\mathcal U}'\) est aussi connexe. Ensuite on donne des applications aux schémas affines et divers exemples. MSC: 53C99 Global differential geometry 54D05 Connected and locally connected spaces (general aspects) Keywords:connectedness; polygonal components; affine schemes × Cite Format Result Cite Review PDF Full Text: Numdam EuDML References: [1] M. Artin , On the joins of Hensel Rings , Adv. in Math. 7 ( 1971 ), 282 - 296 . MR 289501 | Zbl 0242.13021 · Zbl 0242.13021 · doi:10.1016/S0001-8708(71)80007-5 [2] N. Bourbaki , Algèbre Commutative , Chap. I, II, Hermann 1961 Paris . · Zbl 0108.04002 [3] A. Grothendieck & J.A. Dieudonné , Éléments de Géométrie Algébrique , Springer Verlag , 1971 . Zbl 0203.23301 · Zbl 0203.23301 [4] S. Greco & R. Strano , Quasi-coherent sheaves over affine Heusel, schemes , Trans. of the A.M.S. 268 , 1981 . MR 632537 | Zbl 0527.14004 · Zbl 0527.14004 · doi:10.2307/1999336 [5] R. Hartshorne , Algebraic Geometry , Springer Verlag 1977 . MR 463157 | Zbl 0367.14001 · Zbl 0367.14001 [6] I. Sergio , Sugli anelli il cui spettro non possiede poligoni , Le Matematiche , XXXVII ( 1982 ). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.