02741nam 2200541 450 991081727150332120170918220419.00-8218-9912-0(CKB)3360000000464029(EBL)3113723(SSID)ssj0000976570(PQKBManifestationID)11616508(PQKBTitleCode)TC0000976570(PQKBWorkID)11019192(PQKB)11229846(MiAaPQ)EBC3113723(RPAM)376221(PPN)19540999X(EXLCZ)99336000000046402920711207d1971 uy| 0engur|n|---|||||txtccrStructures in topology /by Douglas HarrisProvidence, Rhode Island :American Mathematical Society,1971.1 online resource (104 p.)Memoirs of the American Mathematical Society ;number 115Originally presented as the author's thesis, University of Kansas.0-8218-1815-5 Bibliography: pages 93-96.""TABLE OF CONTENTS""; ""INTRODUCTION""; ""A. Preliminary remarks""; ""B. Preliminaries: topology""; ""C. Preliminaries: extensions""; ""D. Preliminaries: categories""; ""PART I: STRUCTURES""; ""A. Structures""; ""B. Round filters and cauchy filters""; ""C. Complete extension structures; completion structures""; ""D. The structure induced by a function""; ""E. Structure maps; s-maps""; ""F. Products and subspaces""; ""G. Structures for a space""; ""H. The lattice of structures""; ""PART II: COMPLETE EXTENSIONS AND COMPLETIONS""; ""A. Complete extensions and completions""""B. Simple complete extension structures""""C. The largest complete extension""; ""D. s-maps and c-maps""; ""E. Complete extensions and completions as functors""; ""PART III: APPLICATIONS""; ""RT. Closed subspaces and retracts""; ""H. Hausdorff spaces""; ""D. Distinguished covers; d-structures; d-maps""; ""K. Compact Spaces""; ""RK. Realcompact spaces""; ""HC. Hausdorff-closed spaces""; ""S. Semiregular spaces""; ""M. Minimal Hausdorff spaces""; ""RC. Regular-closed and RC-regular spaces""; ""LC. Locally compact spaces""; ""LH. Locally H-closed spaces""; ""REFERENCES""Memoirs of the American Mathematical Society ;no. 115.Proximity spacesUniform spacesProximity spaces.Uniform spaces.514/.32Harris Douglas1714664MiAaPQMiAaPQMiAaPQBOOK9910817271503321Structures in topology4108683UNINA