I-density continuous functions / / Krzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski

• Record Nr.: UNINA9910480709203321
• Autore: Ciesielski Krzysztof <1957->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 1994; ©1994
• ISBN: 1-4704-0092-8
• Descrizione fisica: 1 online resource (154 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 107, Number 515
• Disciplina: 515/.83
• Soggetti: Functions, Continuous; Baire classes; Semigroups; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "January 1994, Volume 107, Number 515 (end of volume)."
• Nota di bibliografia: Includes bibliographical references and index.
• 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""