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| Ultima descărcare din IBN: 2022-09-27 22:03 |
 SM ISO690:2012SHEKUTKOVSKI, Nikita, MISAJLESKI, Zoran, DURMISHI, Emin. Finite cartesian product of chain connected sets in topological spaces. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, p. 54. |
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| Conference on Applied and Industrial Mathematics Ediţia a 28-a, 2021 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 17-18 septembrie 2021 | ||||||
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| Pag. 54-54 | ||||||
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In [1] the de nition of connectedness of a topological space is reformulated by using the notion of chain and proved its equivalence to the standard de nition of connectedness. The topological space X is connected if for every x; y 2 X and for any open covering U of X, there exists a chain in U that connects x and y, i.e., there exists a nite sequence U1;U2;...;Un of elements of U such that x 2 U1, y 2 Un and every two consecutive elements from the chain have nonempty intersection. |
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| Cuvinte-cheie connectedness, coverings, chain, chain connecteness, cartesian product |
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