I-Density Continuous Functions.

Intro -- 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 ∩ 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.