arXiv Open Access 2007

Continuous functions taking every value a given number of times

Aleksandra Kwiatkowska

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Abstrak

We give necessary and sufficient conditions on a function $f:[0,1]\to {0,1,2,...,ω,\continuum}$ under which there exists a continuous function $F:[0,1]\to [0,1]$ such that for every $y\in[0,1]$ we have $|F^{-1}(y)|=f(y)$.

Topik & Kata Kunci

math.LO math.GN

Penulis (1)

Aleksandra Kwiatkowska

Format Sitasi

APA MLA BibTeX

Kwiatkowska, A. (2007). Continuous functions taking every value a given number of times. https://arxiv.org/abs/0708.3608

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓