Abstract:
We study different types of continuous mappings of Sorgenfrey line $\mathbf{S}$ (real line with topology, which base consists of all right half-opened intervals $[a,b)$) onto real line $\mathbf{R}$. We construct open continuous mapping of $\mathbf{S}$ onto $\mathbf{R}$. On the other hand we prove, that for any closed continuous mapping of $\mathbf{S}$ into $\mathbf{S}$ the image is countable.
Keywords:continuous mapping, open mapping, closed mapping, Sorgenfrey line, real line.
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