LEADER 02741nam 2200541 450 001 9910817271503321 005 20170918220419.0 010 $a0-8218-9912-0 035 $a(CKB)3360000000464029 035 $a(EBL)3113723 035 $a(SSID)ssj0000976570 035 $a(PQKBManifestationID)11616508 035 $a(PQKBTitleCode)TC0000976570 035 $a(PQKBWorkID)11019192 035 $a(PQKB)11229846 035 $a(MiAaPQ)EBC3113723 035 $a(RPAM)376221 035 $a(PPN)19540999X 035 $a(EXLCZ)993360000000464029 100 $a20711207d1971 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStructures in topology /$fby Douglas Harris 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1971. 215 $a1 online resource (104 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 115 300 $aOriginally presented as the author's thesis, University of Kansas. 311 $a0-8218-1815-5 320 $aBibliography: pages 93-96. 327 $a""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"" 327 $a""B. Simple complete extension structures""""C. The largest complete extension""; ""D. s-maps and c-maps""; ""E. Complete extensions and completions as functors""; ""PART III: APPLICATIONS""; ""RT. Closed subspaces and retracts""; ""H. Hausdorff spaces""; ""D. Distinguished covers; d-structures; d-maps""; ""K. Compact Spaces""; ""RK. Realcompact spaces""; ""HC. Hausdorff-closed spaces""; ""S. Semiregular spaces""; ""M. Minimal Hausdorff spaces""; ""RC. Regular-closed and RC-regular spaces""; ""LC. Locally compact spaces""; ""LH. Locally H-closed spaces""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 115. 606 $aProximity spaces 606 $aUniform spaces 615 0$aProximity spaces. 615 0$aUniform spaces. 676 $a514/.32 700 $aHarris$b Douglas$01714664 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817271503321 996 $aStructures in topology$94108683 997 $aUNINA