Complexity of the class of Peano functions

• Autorzy: K. Omiljanowski , S. Solecki , J. M. Zielinski
• Języki publikacji: EN

Abstrakty

EN

We evaluate the descriptive set theoretic complexity of the space of continuous surjections from $ℝ^m$ to $ℝ^n$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 83
• Numer: 1
• Strony: 101-105

Daty

wydano

2000

otrzymano

1999-01-06

poprawiono

1999-08-31

Twórcy

autor

K. Omiljanowski

• Institute of Mathematics, University of Wrocław, 50-384 Wrocław, Poland

autor

S. Solecki

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

autor

J. M. Zielinski

• Department of Mathematics, Washington University, St. Louis, MO 63130, U.S.A.

Bibliografia

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• [2] E. G. Effros, Transformation groups and C*-algebras, Ann. of Math. 81 (1965), 38-55.
• [3] A. S. Kechris, On the concept of $Π^1_1$-completeness, Proc. Amer. Math. Soc. 125 (1997), 1811-1814.
• [4] A. S. Kechris, Classical Descriptive Set Theory, Springer, 1995.
• [5] P. Krupski, Homogeneity and Cantor manifolds, Proc. Amer. Math. Soc. 109 (1990), 1135-1142.