LEADER 03588nam 2200613 450 001 9910480709203321 005 20170821171930.0 010 $a1-4704-0092-8 035 $a(CKB)3360000000464699 035 $a(EBL)3113794 035 $a(SSID)ssj0000973229 035 $a(PQKBManifestationID)11529903 035 $a(PQKBTitleCode)TC0000973229 035 $a(PQKBWorkID)10960090 035 $a(PQKB)10370173 035 $a(MiAaPQ)EBC3113794 035 $a(PPN)195413989 035 $a(EXLCZ)993360000000464699 100 $a20140902h19941994 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aI-density continuous functions /$fKrzysztof Ciesielski, Lee Larson, Krzysztof Ostaszewski 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1994. 210 4$d©1994 215 $a1 online resource (154 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 107, Number 515 300 $a"January 1994, Volume 107, Number 515 (end of volume)." 311 $a0-8218-2579-8 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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 a??© 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"" 327 $a""3.8. Other Continuities""""3.9. Historical and Bibliographic Notes""; ""Chapter 4. Semigroups""; ""4.1. Preliminaries""; ""4.2. Density Continuous Functions""; ""4.3. The I-approximate Derivative""; ""4.4. Semigroups of I-density Continuous Functions""; ""4.5. Historical and Bibliographic Notes""; ""Appendix A. Notation""; ""Sets""; ""Algebras""; ""Operations on Sets""; ""Ideals""; ""Topologies""; ""Function Classes""; ""Operations on Functions""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 107, Number 515. 606 $aFunctions, Continuous 606 $aBaire classes 606 $aSemigroups 608 $aElectronic books. 615 0$aFunctions, Continuous. 615 0$aBaire classes. 615 0$aSemigroups. 676 $a515/.83 700 $aCiesielski$b Krzysztof$f1957-$0287859 702 $aLarson$b Lee$f1953- 702 $aOstaszewski$b Krzysztof$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480709203321 996 $aI-density continuous functions$91914813 997 $aUNINA