COUNTEREXAMPLES IN TOPOLOGICAL HOMOLOGY |
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PROBLEMS | SOLUTIONS |
TH1. A unital commutative Banach algebra with a maximal ideal M of codimension 1 and a Banach A-module X such that H2(A,X) = 0 but H2(M,X) 0. |
TH1.dvi TH1.htm TH1.ps TH1.pdf |
TH2. A non-split short complex of Banach spaces whose dual splits. |
TH2.dvi TH2.htm TH2.ps TH2.pdf |
TH3. A weakly amenable commutative Banach algebra which is not amenable. |
TH3.dvi TH3.htm TH3.ps TH3.pdf |
TH4. A derivation on an algebra which is not inner. |
TH4.dvi TH4.htm TH4.ps TH4.pdf |
TH5. A closed unbounded *-derivation on a C*-algebra A. |
TH5.dvi TH5.htm TH5.ps TH5.pdf |
TH6. A Banach algebra for which every linear operator is a derivation. |
TH6.dvi TH6.htm TH6.ps TH6.pdf |
TH7. A non-closable unbounded *-derivation. |
TH7.dvi TH7.htm TH7.ps TH7.pdf |