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학술저널

ON SEPARATEDNESS OF ZERO-DIMENSIONAL SPACES

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Journal of the Chungcheong Mathematical Society Volume 38, No. 4.jpg

In this paper, we give some characterizations of zero- dimensional spaces via some classes of continuous real-valued func- tions. Thus we show that a topological space X is zero-dimensional if and only if it satisfies the Urysohn lemma (or a partition of unity) without being surjective. We also give some examples related to our results.

1. Introduction

2. Main results

References

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