Topology of the space of order-preserving functionals

• Autorzy: Radul T.
• Języki publikacji: EN

Abstrakty

EN

We investigate the topology of the spaces of order-preserving functionales O(X) over compacta X. It is shown that the space O(X) is homeomorphic to the Tychonov cube [I^tau] iff X is openly generated chi-homogeneous compactum of weight tau.

Słowa kluczowe

EN

absolute retract; order-preserving functional; Tychonov cube

PL

retrakt absolutny; topologia

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1999
• Tom: Vol. 47, no 1
• Strony: 53--60
• Opis fizyczny: Bibliogr. 11 poz.,

Twórcy

autor

Radul T.

• Lviv State University, Department of Mathematics, 290602 Lviv, Universitetska St, 1

Bibliografia

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• [5] L. B. Shapiro, On function extension operators and normal functors (in Russian), Vest. Mosk. Univ., Ser. 1, no. 1 (1992) 35-42.
• [6] T. Radul, On the functor of order-preserving functionals, Comment. Math. Univ. of Carolinea, 39 (1998) 609-615.
• [7] S. Ditor, L. Eifler, Some open mopping theorems for measures, Trans. Amer. Math. Soc., 164 (1972) 287-293.
• [8] T. Radul, Monad of hyperspaces of inclusion and its algebras (in Russian), Ukr. Mat. Zh., 42 (6) (1990) 806-812.
• [9] V. V. Fedorchuk, A. Chigogidze, Absolute retracts and infinite-dimensional manifold (in Russian), Nauka, Moscow 1992.
• [10] E. V. Shchepin, Functors and uncountable powers of compacta (in Russian), Usp. Mat. Nauk, 36 (1981) 3-62.
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