03583nam 2200613 450 991078875340332120170821171930.01-4704-0092-8(CKB)3360000000464699(EBL)3113794(SSID)ssj0000973229(PQKBManifestationID)11529903(PQKBTitleCode)TC0000973229(PQKBWorkID)10960090(PQKB)10370173(MiAaPQ)EBC3113794(RPAM)636250(PPN)195413989(EXLCZ)99336000000046469920140902h19941994 uy 0engur|n|---|||||txtccrI-density continuous functions /Krzysztof Ciesielski, Lee Larson, Krzysztof OstaszewskiProvidence, Rhode Island :American Mathematical Society,1994.©19941 online resource (154 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 107, Number 515"January 1994, Volume 107, Number 515 (end of volume)."0-8218-2579-8 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 107, Number 515.Functions, ContinuousBaire classesSemigroupsFunctions, Continuous.Baire classes.Semigroups.515/.83Ciesielski Krzysztof1957-287859Larson Lee1953-Ostaszewski Krzysztof1957-MiAaPQMiAaPQMiAaPQBOOK9910788753403321I-density continuous functions3759957UNINA