EXTENSIONS OF ALGEBRAIC FUNCTION FIELDS WITH COMPLETE SPLITTING OF ALL RATIONAL PLACES

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ACKNOWLEDGMENTS

I would like to express my deep sense of gratitude to Prof. Dennis Estes, who supervised this work, and tragically passed away just prior to its completion. Without his constant help, I could not have made any progress whatsoever.

I would also like to thank Joe Wetherell for helping me to complete this work following the demise of Prof. Dennis Estes.