A co-analytic maximal set of orthogonal measures
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A co-analytic maximal set of orthogonal measures. / Fischer, Vera; Törnquist, Asger Dag.
In: Journal of Symbolic Logic, Vol. 75, No. 4, 2010, p. 1403-1414.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - A co-analytic maximal set of orthogonal measures
AU - Fischer, Vera
AU - Törnquist, Asger Dag
PY - 2010
Y1 - 2010
N2 - We prove that if V = L then there is a Π! maximal orthogonal (i.e., mutually singular) set of measures on Cantor space. This provides a natural counterpoint to the well-known theorem of Preiss and Rataj [16] that no analytic set of measures can be maximal orthogonal.
AB - We prove that if V = L then there is a Π! maximal orthogonal (i.e., mutually singular) set of measures on Cantor space. This provides a natural counterpoint to the well-known theorem of Preiss and Rataj [16] that no analytic set of measures can be maximal orthogonal.
U2 - 10.2178/jsl/1286198154
DO - 10.2178/jsl/1286198154
M3 - Journal article
AN - SCOPUS:78951482453
VL - 75
SP - 1403
EP - 1414
JO - Journal of Symbolic Logic
JF - Journal of Symbolic Logic
SN - 0022-4812
IS - 4
ER -
ID: 61336253