Set theoretic topology [presented at a series of conferences, seminars, and colloquia hosted by the Institute for Medicine and Mathematics at Ohio University during the 1975 - 76 academic year

Set-Theoretic Topology deals with results concerning set theoretic topology and indicates directions for further investigations. Topics covered include normality and conditions in abstract spaces, compactifications, cardinal invariance, mapping theory, product spaces, and metrization. Comprised of 29 chapters, this volume begins with an example concerning the preservation of the Lindelöf property in product spaces, followed by a discussion on closed-completeness in spaces with a quasi-G? diagonal and with weak covering properties. The reader is then introduced to countably compact extensions of normal locally compact M-spaces; continuously semi-metrizable spaces; and closed discrete collections of singular cardinality. Subsequent chapters focus on open mapping theory; a selection-theoretic approach to certain extension theorems; semicompletable Moore spaces; and non-normal spaces. The book also considers complete mappings in base of countable order theory before concluding with an analysis of locally separable Moore spaces. This monograph should be of value to students, researchers, and specialists in the field of mathematics. Content: Front Matter, Page iii Copyright, Page iv Dedication, Page v CONTRIBUTORS, Pages xi-xii PREFACE, Page xiii ACKNOWLEDGMENTS, Page xv AN EXAMPLE CONCERNING THE PRESERVATION OF THE LINDELÖF PROPERTY IN PRODUCT SPACES, Pages 1-10, K. Alster, P. Zenor CLOSED-COMPLETENESS IN SPACES WITH A QUASI-GδDIAGONAL, Pages 11-16, Robert L. Blair CLOSED-COMPLETENESS IN SPACES WITH WEAK COVERING PROPERTIES, Pages 17-45, Robert L. Blair z-EMBEDDING IN βX × βY, Pages 47-72, Robert L. Blair, Anthony W. Hager A NOTE ON δθ–REFINABLE SPACES, Pages 73-80, James R. Boone ON COUNTABLY COMPACT EXTENSIONS OF NORMAL LOCALLY COMPACT M-SPACES, Pages 81-89, Dennis K. Burke, Eric K. van Douwen A CHARACTERIZATION OF CONTINUOUSLY SEMIMETRIZABLE SPACES, Pages 91-95, H. Cook DENSITY OF COMPACTIFICATIONS, Pages 97-110, Eric K. van Douwen THE PIXLEY-ROY TOPOLOGY ON SPACES OF SUBSETS, Pages 111-134, Eric K. van Douwen SEPARATING CLOSED DISCRETE COLLECTIONS OF SINGULAR CARDINALITY, Pages 135-140, William G. Fleissner OPEN MAPPING THEORY, Pages 141-191, Raymond F. Gittings MOORE - CLOSED AND LOCALLY MOORE - CLOSED SPACES, Pages 193-217, John Wm. Green A CONSTRUCTION OF A QUASI-METRIC SOUSLIN SPACE WITH A POINT-COUNTABLE BASE, Pages 219-224, R.W. Heath ON GENERATING NON-ORTHOCOMPACT SPACES, Pages 225-237, R.W. Heath, W.F. Lindgren THE ALEXANDROFF-URYSOHN METRIZATION THEOREM REVISITED, Pages 239-253, R.E. Hodel THE G(m)-SPACES AND OTHER RELATED TOPICS, Pages 255-264, Thomas R. James STRONG S AND L SPACES UNDER MA, Pages 265-268, Kenneth Kunen A SELECTION-THEORETIC APPROACH TO CERTAIN EXTENSION THEOREMS, Pages 269-275, David J. Lutzer SOME SURPRISING BASE PROPERTIES IN TOPOLOGY II, Pages 277-305, Peter J. Nyikos SOME RESULTS FROM A-SPACES, Pages 307-312, R.C. Olson SOME OBSERVATIONS ON SEMICOMPLETABLE MOORE SPACES, Pages 313-324, Thomas M. Phillips NORMALITY AND SEPARABILITY OF MOORE SPACES, Pages 325-337, Teodor C. Przymusiński ORTHOCOMPACTNESS IS NORMALITY IN FINITE PRODUCTS OF LOCALLY COMPACT LOTS'S, Pages 339-348, Brian M. Scott A REDUCTION OF THE HEREDITARILY SEPARABLE NON-LINDELÖF PROBLEM, Pages 349-351, Franklin D. Tall FIRST COUNTABLE SPACES WITH CALIBER א1 MAY OR MAY NOT BE SEPARABLE, Pages 353-358, Franklin D. Tall SOME EXAMPLES CONCERNING α-BOUNDED SPACES, Pages 359-369, J.E. Vaughan NON-NORMAL SPACES, Pages 371-381, Michael L. Wage COMPLETE MAPPINGS IN BASE OF COUNTABLE ORDER THEORY, Pages 383-412, H.H. Wicke LOCALLY SEPARABLE MOORE SPACES, Pages 413-436, John M. Worrell Jr. Edited By George M. Reed. Presented At A Series Of Conferences, Seminars, And Colloquia Hosted By The Institute For Medicine And Mathematics At Ohio University During The 1975-76 Academic Year. Includes Bibliographies.