Structures in topology / / by Douglas Harris

• Autore: Harris Douglas
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1971
• Descrizione fisica: 1 online resource (104 p.)
• Disciplina: 514/.32
• Soggetto topico: Proximity spaces; Uniform spaces
• Note generali: Originally presented as the author's thesis, University of Kansas.
• Nota di bibliografia: Bibliography: pages 93-96.
• Nota di contenuto: ""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""
• Titolo autorizzato: Structures in topology
• ISBN: 0-8218-9912-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788613103321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 115.