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I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski
| I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski |
| Autore | Ciesielski Krzysztof <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 515/.83 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Continuous
Baire classes Semigroups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0092-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. The Ordinary Density Topology""; ""1.1. A Simple Category Topology""; ""1.2. Definition of the Density Topology""; ""1.3. Approximate Continuity""; ""1.4. Density Continuity""; ""1.5. Abstract Density Topologies""; ""1.6. Historical and Bibliographic Notes""; ""Chapter 2. Category Analogues of the Density Topology""; ""2.1. J-density and J-dispersion Points""; ""2.2. I-density and I-dispersion Points""; ""2.3. The I-density Topology""; ""2.4. The P*-topology""; ""2.5. I-approximate Continuity""
""2.6. Topological Properties of the I-density Topology""""2.7. The Deep-I-density Topology""; ""2.8. I-density Topologies Versus the Density Topology""; ""2.9. Historical and Bibliographic Notes""; ""Chapter 3. I-density Continuous Functions""; ""3.1. I-density and Deep-I-density Continuous Functions""; ""3.2. Homeomorphisms and I-density""; ""3.3. Addition within H â?© C[sub(II)]""; ""3.4. More I-density Continuous Functions""; ""3.5. I-density Continuous Functions are Baire*1""; ""3.6. Inclusions and Examples""; ""3.7. I-density Versus Density Continuous Functions"" ""3.8. Other Continuities""""3.9. Historical and Bibliographic Notes""; ""Chapter 4. Semigroups""; ""4.1. Preliminaries""; ""4.2. Density Continuous Functions""; ""4.3. The I-approximate Derivative""; ""4.4. Semigroups of I-density Continuous Functions""; ""4.5. Historical and Bibliographic Notes""; ""Appendix A. Notation""; ""Sets""; ""Algebras""; ""Operations on Sets""; ""Ideals""; ""Topologies""; ""Function Classes""; ""Operations on Functions""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910480709203321 |
Ciesielski Krzysztof <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski
| I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski |
| Autore | Ciesielski Krzysztof <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 515/.83 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Continuous
Baire classes Semigroups |
| ISBN | 1-4704-0092-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. The Ordinary Density Topology""; ""1.1. A Simple Category Topology""; ""1.2. Definition of the Density Topology""; ""1.3. Approximate Continuity""; ""1.4. Density Continuity""; ""1.5. Abstract Density Topologies""; ""1.6. Historical and Bibliographic Notes""; ""Chapter 2. Category Analogues of the Density Topology""; ""2.1. J-density and J-dispersion Points""; ""2.2. I-density and I-dispersion Points""; ""2.3. The I-density Topology""; ""2.4. The P*-topology""; ""2.5. I-approximate Continuity""
""2.6. Topological Properties of the I-density Topology""""2.7. The Deep-I-density Topology""; ""2.8. I-density Topologies Versus the Density Topology""; ""2.9. Historical and Bibliographic Notes""; ""Chapter 3. I-density Continuous Functions""; ""3.1. I-density and Deep-I-density Continuous Functions""; ""3.2. Homeomorphisms and I-density""; ""3.3. Addition within H â?© C[sub(II)]""; ""3.4. More I-density Continuous Functions""; ""3.5. I-density Continuous Functions are Baire*1""; ""3.6. Inclusions and Examples""; ""3.7. I-density Versus Density Continuous Functions"" ""3.8. Other Continuities""""3.9. Historical and Bibliographic Notes""; ""Chapter 4. Semigroups""; ""4.1. Preliminaries""; ""4.2. Density Continuous Functions""; ""4.3. The I-approximate Derivative""; ""4.4. Semigroups of I-density Continuous Functions""; ""4.5. Historical and Bibliographic Notes""; ""Appendix A. Notation""; ""Sets""; ""Algebras""; ""Operations on Sets""; ""Ideals""; ""Topologies""; ""Function Classes""; ""Operations on Functions""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910788753403321 |
|
Ciesielski Krzysztof <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski
| I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski |
| Autore | Ciesielski Krzysztof <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 515/.83 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Continuous
Baire classes Semigroups |
| ISBN | 1-4704-0092-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. The Ordinary Density Topology""; ""1.1. A Simple Category Topology""; ""1.2. Definition of the Density Topology""; ""1.3. Approximate Continuity""; ""1.4. Density Continuity""; ""1.5. Abstract Density Topologies""; ""1.6. Historical and Bibliographic Notes""; ""Chapter 2. Category Analogues of the Density Topology""; ""2.1. J-density and J-dispersion Points""; ""2.2. I-density and I-dispersion Points""; ""2.3. The I-density Topology""; ""2.4. The P*-topology""; ""2.5. I-approximate Continuity""
""2.6. Topological Properties of the I-density Topology""""2.7. The Deep-I-density Topology""; ""2.8. I-density Topologies Versus the Density Topology""; ""2.9. Historical and Bibliographic Notes""; ""Chapter 3. I-density Continuous Functions""; ""3.1. I-density and Deep-I-density Continuous Functions""; ""3.2. Homeomorphisms and I-density""; ""3.3. Addition within H â?© C[sub(II)]""; ""3.4. More I-density Continuous Functions""; ""3.5. I-density Continuous Functions are Baire*1""; ""3.6. Inclusions and Examples""; ""3.7. I-density Versus Density Continuous Functions"" ""3.8. Other Continuities""""3.9. Historical and Bibliographic Notes""; ""Chapter 4. Semigroups""; ""4.1. Preliminaries""; ""4.2. Density Continuous Functions""; ""4.3. The I-approximate Derivative""; ""4.4. Semigroups of I-density Continuous Functions""; ""4.5. Historical and Bibliographic Notes""; ""Appendix A. Notation""; ""Sets""; ""Algebras""; ""Operations on Sets""; ""Ideals""; ""Topologies""; ""Function Classes""; ""Operations on Functions""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910806185003321 |
|
Ciesielski Krzysztof <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Notes on forcing axioms / / Stevo Todorcevic, University of Toronto, Canada ; edited by Chitat Chong, National University of Singapore, Singapore [and four others]
| Notes on forcing axioms / / Stevo Todorcevic, University of Toronto, Canada ; edited by Chitat Chong, National University of Singapore, Singapore [and four others] |
| Autore | Todorcevic Stevo |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (234 p.) |
| Disciplina | 511.3 |
| Altri autori (Persone) | ChongC.-T <1949-> (Chi-Tat) |
| Collana | Lecture notes series (Institute for Mathematical Sciences, National University of Singapore) |
| Soggetto topico |
Forcing (Model theory)
Axioms Baire classes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4571-58-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Foreword by Series Editors; Foreword by Volume Editors; Preface; 1 Baire Category Theorem and the Baire Category Numbers; 1.1 The Baire category method - a classical example; 1.2 Baire category numbers; 1.3 P-clubs; 1.4 Baire category numbers of posets; 1.5 Proper and semi-proper posets; 2 Coding Sets by the Real Numbers; 2.1 Almost-disjoint coding; 2.2 Coding families of unordered pairs of ordinals; 2.3 Coding sets of ordered pairs; 2.4 Strong coding; 2.5 Solovay's lemma and its corollaries; 3 Consequences in Descriptive Set Theory; 3.1 Borel isomorphisms between Polish spaces
3.2 Analytic and co-analytic sets 3.3 Analytic and co-analytic sets under p > ω1; 4 Consequences in Measure Theory; 4.1 Measure spaces; 4.2 More on measure spaces; 5 Variations on the Souslin Hypothesis; 5.1 The countable chain condition; 5.2 The Souslin Hypothesis; 5.3 A selective ultrafilter from m > ω1; 5.4 The countable chain condition versus the separability; 6 The S-spaces and the L-spaces; 6.1 Hereditarily separable and hereditarily Lindelof spaces; 6.2 Countable tightness and the S- and L-space problems; 7 The Side-condition Method; 7.1 Elementary submodels as side conditions 7.2 Open graph axiom 8 Ideal Dichotomies; 8.1 Small ideal dichotomy; 8.2 Sparse set-mapping principle; 8.3 P-ideal dichotomy; 9 Coherent and Lipschitz Trees; 9.1 The Lipschitz condition; 9.2 Filters and trees; 9.3 Model rejecting a finite set of nodes; 9.4 Coloring axiom for coherent trees; 10 Applications to the S-space Problem and the von Neumann Problem; 10.1 The S-space problem and its relatives; 10.2 The P-ideal dichotomy and a problem of von Neumann; 11 Biorthogonal Systems; 11.1 The quotient problem; 11.2 A topological property of the dual ball; 11.3 A problem of Rolewicz 16 Cardinal Arithmetic and mm 16.1 mm and the continuum; 16.2 mm and cardinal arithmetic above the continuum; 17 Reflection Principles; 17.1 Strong reflection of stationary sets; 17.2 Weak reflection of stationary sets; 17.3 Open stationary set-mapping reflection; Appendix A Basic Notions; A.1 Set theoretic notions; A.2 Δ-systems and free sets; A.3 Topological notions; A.4 Boolean algebras; Appendix B Preserving Stationary Sets; B.1 Stationary sets; B.2 Partial orders, Boolean algebras and topological spaces; B.3 A topological translation of stationary set preserving Appendix C Historical and Other Comments |
| Record Nr. | UNINA-9910453611103321 |
|
Todorcevic Stevo
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Notes on forcing axioms / / Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W. Hugh Woodin, University of California, Berkeley, USA
| Notes on forcing axioms / / Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W. Hugh Woodin, University of California, Berkeley, USA |
| Autore | Todorcevic Stevo |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiii, 219 pages) : illustrations |
| Disciplina | 511.3 |
| Collana | Lecture notes series (Institute for Mathematical Sciences, National University of Singapore) |
| Soggetto topico |
Forcing (Model theory)
Axioms Baire classes |
| ISBN | 981-4571-58-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Foreword by Series Editors; Foreword by Volume Editors; Preface; 1 Baire Category Theorem and the Baire Category Numbers; 1.1 The Baire category method - a classical example; 1.2 Baire category numbers; 1.3 P-clubs; 1.4 Baire category numbers of posets; 1.5 Proper and semi-proper posets; 2 Coding Sets by the Real Numbers; 2.1 Almost-disjoint coding; 2.2 Coding families of unordered pairs of ordinals; 2.3 Coding sets of ordered pairs; 2.4 Strong coding; 2.5 Solovay's lemma and its corollaries; 3 Consequences in Descriptive Set Theory; 3.1 Borel isomorphisms between Polish spaces
3.2 Analytic and co-analytic sets 3.3 Analytic and co-analytic sets under p > ω1; 4 Consequences in Measure Theory; 4.1 Measure spaces; 4.2 More on measure spaces; 5 Variations on the Souslin Hypothesis; 5.1 The countable chain condition; 5.2 The Souslin Hypothesis; 5.3 A selective ultrafilter from m > ω1; 5.4 The countable chain condition versus the separability; 6 The S-spaces and the L-spaces; 6.1 Hereditarily separable and hereditarily Lindelof spaces; 6.2 Countable tightness and the S- and L-space problems; 7 The Side-condition Method; 7.1 Elementary submodels as side conditions 7.2 Open graph axiom 8 Ideal Dichotomies; 8.1 Small ideal dichotomy; 8.2 Sparse set-mapping principle; 8.3 P-ideal dichotomy; 9 Coherent and Lipschitz Trees; 9.1 The Lipschitz condition; 9.2 Filters and trees; 9.3 Model rejecting a finite set of nodes; 9.4 Coloring axiom for coherent trees; 10 Applications to the S-space Problem and the von Neumann Problem; 10.1 The S-space problem and its relatives; 10.2 The P-ideal dichotomy and a problem of von Neumann; 11 Biorthogonal Systems; 11.1 The quotient problem; 11.2 A topological property of the dual ball; 11.3 A problem of Rolewicz 16 Cardinal Arithmetic and mm 16.1 mm and the continuum; 16.2 mm and cardinal arithmetic above the continuum; 17 Reflection Principles; 17.1 Strong reflection of stationary sets; 17.2 Weak reflection of stationary sets; 17.3 Open stationary set-mapping reflection; Appendix A Basic Notions; A.1 Set theoretic notions; A.2 Δ-systems and free sets; A.3 Topological notions; A.4 Boolean algebras; Appendix B Preserving Stationary Sets; B.1 Stationary sets; B.2 Partial orders, Boolean algebras and topological spaces; B.3 A topological translation of stationary set preserving Appendix C Historical and Other Comments |
| Record Nr. | UNINA-9910790973803321 |
|
Todorcevic Stevo
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Notes on forcing axioms / / Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W. Hugh Woodin, University of California, Berkeley, USA
| Notes on forcing axioms / / Stevo Todorcevic, University of Toronto, Canada ; editors, Chitat Chong, Qi Feng, Yue Yang, National University of Singapore, Singapore, Theodore A. Slaman, W. Hugh Woodin, University of California, Berkeley, USA |
| Autore | Todorcevic Stevo |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiii, 219 pages) : illustrations |
| Disciplina | 511.3 |
| Collana | Lecture notes series (Institute for Mathematical Sciences, National University of Singapore) |
| Soggetto topico |
Forcing (Model theory)
Axioms Baire classes |
| ISBN | 981-4571-58-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Foreword by Series Editors; Foreword by Volume Editors; Preface; 1 Baire Category Theorem and the Baire Category Numbers; 1.1 The Baire category method - a classical example; 1.2 Baire category numbers; 1.3 P-clubs; 1.4 Baire category numbers of posets; 1.5 Proper and semi-proper posets; 2 Coding Sets by the Real Numbers; 2.1 Almost-disjoint coding; 2.2 Coding families of unordered pairs of ordinals; 2.3 Coding sets of ordered pairs; 2.4 Strong coding; 2.5 Solovay's lemma and its corollaries; 3 Consequences in Descriptive Set Theory; 3.1 Borel isomorphisms between Polish spaces
3.2 Analytic and co-analytic sets 3.3 Analytic and co-analytic sets under p > ω1; 4 Consequences in Measure Theory; 4.1 Measure spaces; 4.2 More on measure spaces; 5 Variations on the Souslin Hypothesis; 5.1 The countable chain condition; 5.2 The Souslin Hypothesis; 5.3 A selective ultrafilter from m > ω1; 5.4 The countable chain condition versus the separability; 6 The S-spaces and the L-spaces; 6.1 Hereditarily separable and hereditarily Lindelof spaces; 6.2 Countable tightness and the S- and L-space problems; 7 The Side-condition Method; 7.1 Elementary submodels as side conditions 7.2 Open graph axiom 8 Ideal Dichotomies; 8.1 Small ideal dichotomy; 8.2 Sparse set-mapping principle; 8.3 P-ideal dichotomy; 9 Coherent and Lipschitz Trees; 9.1 The Lipschitz condition; 9.2 Filters and trees; 9.3 Model rejecting a finite set of nodes; 9.4 Coloring axiom for coherent trees; 10 Applications to the S-space Problem and the von Neumann Problem; 10.1 The S-space problem and its relatives; 10.2 The P-ideal dichotomy and a problem of von Neumann; 11 Biorthogonal Systems; 11.1 The quotient problem; 11.2 A topological property of the dual ball; 11.3 A problem of Rolewicz 16 Cardinal Arithmetic and mm 16.1 mm and the continuum; 16.2 mm and cardinal arithmetic above the continuum; 17 Reflection Principles; 17.1 Strong reflection of stationary sets; 17.2 Weak reflection of stationary sets; 17.3 Open stationary set-mapping reflection; Appendix A Basic Notions; A.1 Set theoretic notions; A.2 Δ-systems and free sets; A.3 Topological notions; A.4 Boolean algebras; Appendix B Preserving Stationary Sets; B.1 Stationary sets; B.2 Partial orders, Boolean algebras and topological spaces; B.3 A topological translation of stationary set preserving Appendix C Historical and Other Comments |
| Record Nr. | UNINA-9910820245903321 |
|
Todorcevic Stevo
|
||
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Baire classes
(6)
- Axioms (3)
- Forcing (Model theory) (3)
- Functions, Continuous (3)
- Semigroups (3)