Geodesic
I-weight of compact and locally compact LOTS
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 4, pp. 677-688

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Ram'{\i}rez-Páramo proved that under GCH for the class of compact Hausdorff spaces i-weight reflects all cardinals [{\it A reflection theorem for i-weight\/}, Topology Proc. {\bf 28} (2004), no. 1, 277--281]. We show that in ZFC i-weight reflects all cardinals for the class of compact LOTS. We define local i-weight, then calculate i-weight of locally compact LOTS and paracompact spaces in terms of the extent of the space and the i-weight of open sets or the local i-weight. For locally compact LOTS we find a necessary and sufficient condition for i-weight to reflect cardinal $\kappa$.
Classification : 54A05, 54A25, 54F05
Keywords: i-weight; reflection; T$_1$-separating weight; LOTS; compact 
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     author = {Bailey, Brad},
     title = {I-weight of compact and locally compact {LOTS}},
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Bailey, Brad. I-weight of compact and locally compact LOTS. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 4, pp. 677-688. http://geodesic.mathdoc.fr/item/CMUC_2007__48_4_a10/