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- Homogeneous_tree abstract "In descriptive set theory, a tree over a product set is said to be homogeneous if there is a system of measures such that the following conditions hold: is a countably-additive measure on . The measures are in some sense compatible under restriction of sequences: if , then . If is in the projection of , the ultrapower by is wellfounded.An equivalent definition is produced when the final condition is replaced with the following: There are such that if is in the projection of and , then there is such that . This condition can be thought of as a sort of countable completeness condition on the system of measures.is said to be -homogeneous if each is -complete.Homogeneous trees are involved in Martin and Steel's proof of projective determinacy.".
- Homogeneous_tree wikiPageID "9104798".
- Homogeneous_tree wikiPageRevisionID "605828305".
- Homogeneous_tree hasPhotoCollection Homogeneous_tree.
- Homogeneous_tree subject Category:Descriptive_set_theory.
- Homogeneous_tree subject Category:Determinacy.
- Homogeneous_tree comment "In descriptive set theory, a tree over a product set is said to be homogeneous if there is a system of measures such that the following conditions hold: is a countably-additive measure on . The measures are in some sense compatible under restriction of sequences: if , then .".
- Homogeneous_tree label "Homogeneous tree".
- Homogeneous_tree sameAs m.027xsjg.
- Homogeneous_tree sameAs Q5891336.
- Homogeneous_tree sameAs Q5891336.
- Homogeneous_tree wasDerivedFrom Homogeneous_tree?oldid=605828305.
- Homogeneous_tree isPrimaryTopicOf Homogeneous_tree.