The proposed ordinal-based compactification method is just the standard one-point compactification of the natural numbers, and the homotopy argument for separation axioms is ill-defined.
Cambridge Univ Pr; 1 edition (September 1, 2005)
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A new method for compactification with the help of order topology and limit point
The proposed ordinal-based compactification method is just the standard one-point compactification of the natural numbers, and the homotopy argument for separation axioms is ill-defined.