Zeros of continuous functions and the structure of two function spaces

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Zeros of continuous functions and the structure of two function spaces. (English). Mathematica Slovaca, vol. 52 (2002), issue 4, pp. 397-408

MSC: 26A15, 26A21, 54C35 | MR 1940244 | Zbl 1016.26002

References:

[1] BENAVIDES T. D.: How many zeros does a continuous function have?. Amer. Math. Monthly 93 (1986), 464-466. MR 0843192 | Zbl 0627.26003

[2] KURATOWSKI K.: Topologie I. PWN, Warszawa, 1958.

[3] ROGERS C. A.: Hausdorff Measures,/. Cambridge Univ. Press, Cambridge, 1970. MR 0281862 | Zbl 0204.37601

[4] ŠALÁT T.: On functions that are monotone on no interval. Amer. Math. Monthly 88 (1981), 754-755. MR 0668404 | Zbl 0481.26004

[5] THOMSON B. S.: Real Functions. Springer-Verlag, Berlin - Heidelberg - New York - Tokyo, 1980. MR 0818744

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