On the fiber product of mappings into the unit interval

• Autorzy: Krasinkiewicz J.
• Języki publikacji: EN

Abstrakty

EN

We prove that for every family of sujective mappings f[sub j] : X[sub j] --> I, j [belongs to] J, where X[sub j] are continua, there exist a continuum Y and surjective mappings g[sub j] : Y --> X[sub j] such that f[sub j] o g[sub j] = f[sub j'] o g[sub j'] for all j, j' [belongs to] J.

Słowa kluczowe

EN

continuum; fiber product; mapping; pseudoarc; uniformization

PL

continuum; odwzorowanie; produkt topologiczny; pseudołuk; topologia; uniformizacja

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 4
• Strony: 369--378
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Krasinkiewicz J.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Bibliografia

• [1] T. Homma, A theorem on continuous functions, Kodai Math. Sem. Reports, 1 (1952) 13-16.
• [2] J. L. Kelley, General topology, Princeton 1957.
• [3] J. Krasinkiewicz, P. Minc, Mappings onto indecomposable continua, Bull. Acad. Pol. Sci., Sér. Math., 25 (1977) 675-680.
• [4] K. Kuratowski, Topology, vol. 2, Academic Press, New York, London; PWN, Warszawa 1968.
• [5] J. S. Lipiński, Sur l'uniformisation des fonctions continues, Bull. Acad. Pol. Sci., Sér. Math., 5 (1957) 1019-1021.
• [6] J. Mioduszewski, Solution genérale d'un problème de Sikorski, Bull. Acad. Pol. Sci., Sér. Math., 6 (1958) 169-173.
• [7] J. Mioduszewski, Ona quasi-ordering in the class of continuous mappings of a closed interval into itself, Colloq. Math., 9 (1962) 233-240.
• [8] R. Sikorski, K. Zarankiewicz, On uniformization of functions (I), Fund. Math., 41 (1954) 339-344.
• [9] J. V. Whittaker, A mountain-climbing problem, Canad. J. Math., 18 (1966) 873-882.