Applications of cohomology to set theory II: Todorčević trees

We explore an application of homological algebra by developing a cohomology theory for a class of Aronszajn trees. Properties of this class, called Todorčević trees, are examined. The system is compared to that for Hausdorff gaps introduced in the author's previous work and general results abou...

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Bibliographic Details
Published inAnnals of pure and applied logic Vol. 77; no. 3; pp. 279 - 299
Main Author Talayco, Daniel E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1996
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Summary:We explore an application of homological algebra by developing a cohomology theory for a class of Aronszajn trees. Properties of this class, called Todorčević trees, are examined. The system is compared to that for Hausdorff gaps introduced in the author's previous work and general results about both tree and gap systems are also proven.
ISSN:0168-0072
DOI:10.1016/0168-0072(95)00024-0