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Proximity spaces / S. A. Naimpally and B. D. Warrack
| Proximity spaces / S. A. Naimpally and B. D. Warrack |
| Autore | Naimpally, S. A. |
| Pubbl/distr/stampa | Cambridge [Eng.] : Cambridge University Press, 1970 |
| Descrizione fisica | x, 128 p. ; 22 cm. |
| Disciplina | 514.323 |
| Altri autori (Persone) | Warrack, B. D. |
| Collana | Cambridge tracts in mathematics and mathematical physics ; 59 |
| Soggetto topico | Proximity spaces |
| ISBN | 0521079357 |
| Classificazione | AMS 54E05 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991001271989707536 |
Naimpally, S. A.
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| Cambridge [Eng.] : Cambridge University Press, 1970 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Structures in topology / / by Douglas Harris
| Structures in topology / / by Douglas Harris |
| Autore | Harris Douglas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Proximity spaces
Uniform spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9912-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480047803321 |
|
Harris Douglas
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structures in topology / / by Douglas Harris
| Structures in topology / / by Douglas Harris |
| Autore | Harris Douglas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Proximity spaces
Uniform spaces |
| ISBN | 0-8218-9912-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788613103321 |
|
Harris Douglas
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Structures in topology / / by Douglas Harris
| Structures in topology / / by Douglas Harris |
| Autore | Harris Douglas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1971 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina | 514/.32 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Proximity spaces
Uniform spaces |
| ISBN | 0-8218-9912-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910817271503321 |
|
Harris Douglas
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topology with applications : topological spaces via near and far / / Somashekhar A. Naimpally, Lakehead University, Canada, James F. Peters, University of Manitoba, Canada
| Topology with applications : topological spaces via near and far / / Somashekhar A. Naimpally, Lakehead University, Canada, James F. Peters, University of Manitoba, Canada |
| Autore | Naimpally Somashekhar A |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (xv, 277 pages) : illustrations (some color) |
| Disciplina | 514 |
| Collana | Gale eBooks |
| Soggetto topico |
Topology
Proximity spaces |
| ISBN |
1-299-46235-9
981-4407-66-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Preface; Contents; 1. Basic Framework; 1.1 Preliminaries; 1.2 Metric Space; 1.3 Gap Functional and Closure of a Set; 1.4 Limit of a Sequence; 1.5 Continuity; 1.6 Open and Closed Sets; 1.7 Metric and Fine Proximities; 1.8 Metric Nearness; 1.9 Compactness; 1.10 Lindelöf Spaces and Characterisations of Compactness; 1.11 Completeness and Total Boundedness; 1.12 Connectedness; 1.13 Chainable Metric Spaces; 1.14 UC Spaces; 1.15 Function Spaces; 1.16 Completion; 1.17 Hausdorff Metric Topology; 1.18 First Countable, Second Countable and Separable Spaces
1.19 Dense Subspaces and Taimanov's Theorem1.20 Application: Proximal Neighbourhoods in Cell Biology; 1.21 Problems; 2. What is Topology?; 2.1 Topology; 2.2 Examples; 2.3 Closed and Open Sets; 2.4 Closure and Interior; 2.5 Connectedness; 2.6 Subspace; 2.7 Bases and Subbases; 2.8 More Examples; 2.9 First Countable, Second Countable and Lindelöf; 2.10 Application: Topology of Digital Images; 2.10.1 Topological Structures in Digital Images; 2.10.2 Visual Sets and Metric Topology; 2.10.3 Descriptively Remote Sets and Descriptively Near Sets; 2.11 Problems; 3. Symmetric Proximity; 3.1 Proximities 3.2 Proximal Neighbourhood3.3 Application: EF-Proximity in Visual Merchandising; 3.4 Problems; 4. Continuity and Proximal Continuity; 4.1 Continuous Functions; 4.2 Continuous Invariants; 4.3 Application: Descriptive EF-Proximity in NLO Microscopy; 4.3.1 Descriptive L-Proximity and EF-Proximity; 4.3.2 Descriptive EF Proximity in Microscope Images; 4.4 Problems; 5. Separation Axioms; 5.1 Discovery of the Separation Axioms; 5.2 Functional Separation; 5.3 Observations about EF-Proximity; 5.4 Application: Distinct Points in Hausdor. Raster Spaces; 5.4.1 Descriptive Proximity 5.4.2 Descriptive Hausdorff Space5.5 Problems; 6. Uniform Spaces, Filters and Nets; 6.1 Uniformity via Pseudometrics; 6.2 Filters and Ultrafilters; 6.3 Ultrafilters; 6.4 Nets (Moore-Smith Convergence); 6.5 Equivalence of Nets and Filters; 6.6 Application: Proximal Neighbourhoods in Camouflage Neighbourhood Filters; 6.7 Problems; 7. Compactness and Higher Separation Axioms; 7.1 Compactness: Net and Filter Views; 7.2 Compact Subsets; 7.3 Compactness of a Hausdorff Space; 7.4 Local Compactness; 7.5 Generalisations of Compactness; 7.6 Application: Compact Spaces in Forgery Detection 7.6.1 Basic Approach in Detecting Forged Handwriting7.6.2 Roundness and Gradient Direction in Defining Descriptive Point Clusters; 7.7 Problems; 8. Initial and Final Structures, Embedding; 8.1 Initial Structures; 8.2 Embedding; 8.3 Final Structures; 8.4 Application: Quotient Topology in Image Analysis; 8.5 Problems; 9. Grills, Clusters, Bunches and Proximal Wallman Compactification; 9.1 Grills, Clusters and Bunches; 9.2 Grills; 9.3 Clans; 9.4 Bunches; 9.5 Clusters; 9.6 Proximal Wallman Compactification; 9.7 Examples of Compactifications; 9.8 Application: Grills in Pattern Recognition 9.9 Problems |
| Record Nr. | UNINA-9910779692303321 |
|
Naimpally Somashekhar A
|
||
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topology with applications : topological spaces via near and far / / Somashekhar A. Naimpally, Lakehead University, Canada, James F. Peters, University of Manitoba, Canada
| Topology with applications : topological spaces via near and far / / Somashekhar A. Naimpally, Lakehead University, Canada, James F. Peters, University of Manitoba, Canada |
| Autore | Naimpally Somashekhar A |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2013 |
| Descrizione fisica | 1 online resource (xv, 277 pages) : illustrations (some color) |
| Disciplina | 514 |
| Collana | Gale eBooks |
| Soggetto topico |
Topology
Proximity spaces |
| ISBN |
1-299-46235-9
981-4407-66-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Preface; Contents; 1. Basic Framework; 1.1 Preliminaries; 1.2 Metric Space; 1.3 Gap Functional and Closure of a Set; 1.4 Limit of a Sequence; 1.5 Continuity; 1.6 Open and Closed Sets; 1.7 Metric and Fine Proximities; 1.8 Metric Nearness; 1.9 Compactness; 1.10 Lindelöf Spaces and Characterisations of Compactness; 1.11 Completeness and Total Boundedness; 1.12 Connectedness; 1.13 Chainable Metric Spaces; 1.14 UC Spaces; 1.15 Function Spaces; 1.16 Completion; 1.17 Hausdorff Metric Topology; 1.18 First Countable, Second Countable and Separable Spaces
1.19 Dense Subspaces and Taimanov's Theorem1.20 Application: Proximal Neighbourhoods in Cell Biology; 1.21 Problems; 2. What is Topology?; 2.1 Topology; 2.2 Examples; 2.3 Closed and Open Sets; 2.4 Closure and Interior; 2.5 Connectedness; 2.6 Subspace; 2.7 Bases and Subbases; 2.8 More Examples; 2.9 First Countable, Second Countable and Lindelöf; 2.10 Application: Topology of Digital Images; 2.10.1 Topological Structures in Digital Images; 2.10.2 Visual Sets and Metric Topology; 2.10.3 Descriptively Remote Sets and Descriptively Near Sets; 2.11 Problems; 3. Symmetric Proximity; 3.1 Proximities 3.2 Proximal Neighbourhood3.3 Application: EF-Proximity in Visual Merchandising; 3.4 Problems; 4. Continuity and Proximal Continuity; 4.1 Continuous Functions; 4.2 Continuous Invariants; 4.3 Application: Descriptive EF-Proximity in NLO Microscopy; 4.3.1 Descriptive L-Proximity and EF-Proximity; 4.3.2 Descriptive EF Proximity in Microscope Images; 4.4 Problems; 5. Separation Axioms; 5.1 Discovery of the Separation Axioms; 5.2 Functional Separation; 5.3 Observations about EF-Proximity; 5.4 Application: Distinct Points in Hausdor. Raster Spaces; 5.4.1 Descriptive Proximity 5.4.2 Descriptive Hausdorff Space5.5 Problems; 6. Uniform Spaces, Filters and Nets; 6.1 Uniformity via Pseudometrics; 6.2 Filters and Ultrafilters; 6.3 Ultrafilters; 6.4 Nets (Moore-Smith Convergence); 6.5 Equivalence of Nets and Filters; 6.6 Application: Proximal Neighbourhoods in Camouflage Neighbourhood Filters; 6.7 Problems; 7. Compactness and Higher Separation Axioms; 7.1 Compactness: Net and Filter Views; 7.2 Compact Subsets; 7.3 Compactness of a Hausdorff Space; 7.4 Local Compactness; 7.5 Generalisations of Compactness; 7.6 Application: Compact Spaces in Forgery Detection 7.6.1 Basic Approach in Detecting Forged Handwriting7.6.2 Roundness and Gradient Direction in Defining Descriptive Point Clusters; 7.7 Problems; 8. Initial and Final Structures, Embedding; 8.1 Initial Structures; 8.2 Embedding; 8.3 Final Structures; 8.4 Application: Quotient Topology in Image Analysis; 8.5 Problems; 9. Grills, Clusters, Bunches and Proximal Wallman Compactification; 9.1 Grills, Clusters and Bunches; 9.2 Grills; 9.3 Clans; 9.4 Bunches; 9.5 Clusters; 9.6 Proximal Wallman Compactification; 9.7 Examples of Compactifications; 9.8 Application: Grills in Pattern Recognition 9.9 Problems |
| Record Nr. | UNINA-9910814647703321 |
|
Naimpally Somashekhar A
|
||
| Singapore, : World Scientific Pub. Co., 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Proximity spaces
(6)
- Uniform spaces (3)
- Topology (2)