1,720,956 research outputs found
Powers of the ideal of Lebesgue measure zero sets
No full textWe investigate the cofinality of the partial order N-kappa of functions from a regular cardinal kappa into the ideal N of Lebesgue measure zero subsets of R. We show that when add(N) = kappa and the covering lemma holds with respect to an inner model of GCH, then cf(N-kappa) = max{cf(kappa(kappa)), cf([cf(N)]kappa)}. We also give an example to show that the covering assumption cannot be removed.PT: J; CR: BAUMGARTNER J, 1983, SURVEYS SET THEORY, P1 BURKE MR, 1988, THESIS U TORONTO TOR FREMLIN DH, 1984, MATHEMATIKA, V31, P323 FREMLIN DH, 1984, SEMINAIRE INITIATION, V23 FREMLIN DH, 1988, PARTIALLY ORDERED SE JECH TJ, 1973, SET THEORY KUNEN K, 1984, HDB SET THEORETIC TO, P887 MAGIDOR M, 1977, ISRAEL J MATH, V28, P1; NR: 8; TC: 0; J9: J SYMB LOGIC; PG: 5; GA: FD568Source type: Electronic(1
A note on measurability and almost continuity
No full textPT: J; CR: FREMLIN DH, 1981, MANUSCRIPTA MATH, V33, P387 KUNEN K, 1984, HDB SET THEORETIC TO; NR: 2; TC: 0; J9: PROC AMER MATH SOC; PG: 2; GA: N3391Source type: Electronic(1
Liftings for noncomplete probability spaces
No full textThe current state of knowledge concerning liftings for noncomplete probability spaces is discussed. This is a somewhat expanded version of the author's talk given at the 1991 Summer Conference on General Topology and Applications in Honor of Mary Ellen Rudin and Her Work.PT: S; CR: BURKE MR, IN PRESS P AM MATH S BURKE MR, 1991, ISRAEL J MATH, V73, P33 BURKE MR, 1992, ISRAEL J MATH, V79, P289 CARLSON T, THEOREM LIFTING CHRISTENSEN JPR, 1974, TOPOLOGY BOREL STRUC FREMLIN DH, 1989, HDB BOOLEAN ALGEBRAS, P877 INOESCUTULCEA A, 1966, 5TH P BERK S MATH ST, V2 IONESCUTULCEA A, 1967, CONTRIBUTIONS PROB 1, P63 IONESCUTULCEA A, 1969, TOPICS THEORY LIFTIN JECH TJ, 1978, SET THEORY JOHNSON RA, 1980, P AM MATH SOC, V80, P234 JUST W, IN PRESS T AM MATH S KUPKA J, 1983, INDIANA U MATH J, V32, P717 LOSERT V, 1983, LNM, V1080, P95 MAHARAM D, 1958, P AM MATH SOC, V9, P987 SHELAH S, 1983, ISRAEL J MATH, V45, P90 TALAGRAND M, 1982, P AM MATH SOC, V84, P379 VONNEUMANN J, 1931, CRELLES J MATH, V165, P109; NR: 18; TC: 0; J9: ANN N Y ACAD SCI; PG: 4; GA: BZ86BSource type: Electronic(1
Punctually countable coverings by means of negligible sets
No full textPT: J; CR: BRZUCHOWSKI J, 1979, B POLISH ACAD SCI MA, V27, P447 BUKOVSKY L, 1979, B ACAD POLON SCI SM, V6, P431 FLEISSNER WG, TOPOLOGY, V1, P413 FREMLIN DH, IN PRESS MEASURE ADD FREMLIN DH, 1981, LECTURE NOTES MATH, V945 KUNEN K, 1984, HDB SET THEORETIC TO PRIKRY K, 1977, UNPUB IMAGES LEBESGU ROTHBERGER F, 1938, FUND MATH, V30, P215; NR: 8; TC: 0; J9: CAN MATH BULL-BULL CAN MATH; PG: 4; GA: N0136Source type: Electronic(1
Linear liftings for noncomplete probability spaces
No full textWe show that it is consistent with ZFC that L(infinity)(Y, B, upsilon) has no linear lifting for many non-complete probability spaces (Y, B, upsilon), in particular for Y = [0, 1]A, B = Borel subsets of Y, upsilon = usual Radon measure on B.PT: J; CR: BURKE MR, 1991, ISRAEL J MATH, V73, P33 FREMLIN DH, HDB BOOLEAN ALGEBRA, P877 JUST W, IN PRESS T AM MATH S MATHIAS ARD, 1977, ANN MATH LOGIC, V12, P59 SHELAH S, 1982, PROPER FORCING SHELAH S, 1983, ISRAEL J MATH, V45, P90 TULCEA AI, 1969, TOPICS THEORY LIFTIN; NR: 7; TC: 1; J9: ISR J MATH; PG: 8; GA: KQ705Source type: Electronic(1
Weakly dense subsets of the measure algebra
No full textPT: J; CR: CARLSON T, THEOREM LIFTING CICHON J, 1985, P AM MATH SOC, V94, P142 FREMLIN D, 1977, 2 THEOREMS MOKOBODZK FREMLIN DH, 1984, MATHEMATIKA, V31, P323 GOFFMAN C, 1953, REAL FUNCTIONS HALMOS PR, 1950, MEASURE THEORY HODEL, 1984, HDB SET THEORETIC TO JECH TJ, 1978, SET THEORY KUNEN K, 1980, SET THEORY MAGIDOR M, 1977, ISRAEL J MATH, V28, P1 MAHARAM D, 1942, P NATL ACAD SCI USA, V28, P108 OXTOBY JC, 1971, MEASURE CATEGORY RUDIN W, 1983, AM MATH MON, V90, P41 SIKORSKI R, 1964, BOOLEAN ALGEBRAS VANDOUWEN E, IN PRESS HDB BOOLEAN; NR: 15; TC: 3; J9: PROC AMER MATH SOC; PG: 9; GA: AR774Source type: Electronic(1
Pointwise compact sets of measurable functions
Get PDFIf X is a compact Radon measure space, and A is a pointwise compact set of real-valued measurable functions on X, then A is compact for the topology of convergence in measure (Corollary 2H). Consequently, if Xo,..., Xn are Radon measure spaces, then a separately continuous real-valued function on Xo×X1×...×Xn is jointly measurable (Theorem 3E). If we seek to generalize this work, we encounter some undecidable problems (§4). © 1975 Springer-Verlag
Liftings for Haar measure on {0,1}k
No full textWe call E subset-of-or-is-equal-to {0,1}kappa projective if for some countable A subset-of-or-is-equal-to kappa there is an E(A) subset-of-or-is-equal-to {0,1}A such that E = E(A) x {0,1}kappa/A and E(A) is a projective subset of the Cantor set {0,1}A. We construct a model where Haar measure on {0,1}kappa has no projective lifting (and in particular no Baire lifting) for any kappa greater-than-or-equal-to omega.PT: J; CR: FREMLIN DH, 1989, HDB BOOLEAN ALGEBRAS, P877 JECH TJ, 1978, SET THEORY JUST W, IN PRESS T AM MATH S MAHARAM D, 1958, P AM MATH SOC, V9, P987 SHELAH S, 1983, ISRAEL J MATH, V45, P90; NR: 5; TC: 3; J9: ISR J MATH; PG: 12; GA: GG100Source type: Electronic(1
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
- …
