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Record Nr. |
UNINA9910817271503321 |
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Autore |
Harris Douglas |
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Titolo |
Structures in topology / / by Douglas Harris |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1971 |
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ISBN |
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Descrizione fisica |
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1 online resource (104 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 115 |
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Disciplina |
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Soggetti |
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Proximity spaces |
Uniform spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Originally presented as the author's thesis, University of Kansas. |
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Nota di bibliografia |
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Bibliography: pages 93-96. |
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Nota di contenuto |
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""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"" |
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