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<p>Topological spaces<br />Metric spaces<br />Hausdorff compactifications<br />Fixed point theory</p>
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Full-Text Articles in Physical Sciences and Mathematics
Quasi-Pseudometrics Over Tikhonov Semifields And Fixed Point Theorems, Ronald Evans Satterwhite
Quasi-Pseudometrics Over Tikhonov Semifields And Fixed Point Theorems, Ronald Evans Satterwhite
Doctoral Dissertations
"It has been shown that topological spaces are characterized as quasi-pseudometric spaces over some Tikhonov semifield.
Sufficient conditions are given for a T1 space to be metrizable over some Tikhonov semifield.
Completely regular (uniform) spaces are characterized as pseudornetric spaces over some Tikhonov semifield.
Certain metric, pseudornetric, quasi-metric, quasipseudometric spaces over a Tikhonov semifield are shown to be respectively metric, pseudometric, quasi-metric, quasipseudometric spaces in the usual sense.
Several results from fixed point theory in the metric space setting are generalized to the setting of completely regular (uniform) Hausdorff spaces."--Abstract, page ii.