Geodesic
Spaces of continuous step functions over LOTS
Raushan Z. Buzyakova 1
1 Mathematics Department UNCG PO Box 26170 Greensboro, NC 27402, U.S.A.
Fundamenta Mathematicae, Tome 192 (2006) no. 1, pp. 25-35 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate spaces $C_{\rm p}(\cdot, n)$ over LOTS (linearly ordered topological spaces). We find natural necessary conditions for linear Lindelöfness of $C_{\rm p}(\cdot , n)$ over LOTS. We also characterize countably compact LOTS whose $C_{\rm p}(\cdot, n)$ is linearly Lindelöf for each $n$. Both the necessary conditions and the characterization are given in terms of the topology of the Dedekind completion of a LOTS.
DOI : 10.4064/fm192-1-2
Keywords: investigate spaces cdot lots linearly ordered topological spaces natural necessary conditions linear lindel fness cdot lots characterize countably compact lots whose cdot linearly lindel each necessary conditions characterization given terms topology dedekind completion lots

Raushan Z. Buzyakova  1

1 Mathematics Department UNCG PO Box 26170 Greensboro, NC 27402, U.S.A. 
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Raushan Z. Buzyakova. Spaces of continuous step functions over LOTS. Fundamenta Mathematicae, Tome 192 (2006) no. 1, pp. 25-35. doi: 10.4064/fm192-1-2

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