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Hendrickson-The Banach-Tarski Paradox
m2a.pdf
14.2 MB
مجله رشد برهان ریاضی دوره متوسطه دوم؛ شماره ۲، آبان ۹۶
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Feferman--Is the Continuum Hypothesis a definite mathematical problem?
#Feferman #AxiomOfChoice #ContinuumHypothesis #SetTheory #DescriptiveSetTheory #Godel #Hilbert
#Feferman #AxiomOfChoice #ContinuumHypothesis #SetTheory #DescriptiveSetTheory #Godel #Hilbert
Kaplansky's conjecture on Banach algebras:
This conjecture states that every algebra homomorphism from the Banach algebra C(X) into any other Banach algebra, is necessarily continuous.
The conjecture is equivalent to the statement that every algebra norm on C(X) is equivalent to the usual uniform norm.
(Kaplansky himself had earlier shown that every complete algebra norm on C(X) is equivalent to the uniform norm.)
In the mid-1970s, H. Garth Dales and J. Esterle independently proved that, if one furthermore assumes the validity of the continuum hypothesis, there exist compact Hausdorff spaces X and discontinuous homomorphisms from C(X) to some Banach algebra, giving counterexamples to the conjecture.
This conjecture states that every algebra homomorphism from the Banach algebra C(X) into any other Banach algebra, is necessarily continuous.
The conjecture is equivalent to the statement that every algebra norm on C(X) is equivalent to the usual uniform norm.
(Kaplansky himself had earlier shown that every complete algebra norm on C(X) is equivalent to the uniform norm.)
In the mid-1970s, H. Garth Dales and J. Esterle independently proved that, if one furthermore assumes the validity of the continuum hypothesis, there exist compact Hausdorff spaces X and discontinuous homomorphisms from C(X) to some Banach algebra, giving counterexamples to the conjecture.
از بين نگاه هاي"آبان"گذشتم گاهي گرم،گاهي سرد،چشم به نگاه هاي"آذر"دوختم
دلم رابه دخترك ته تقاريِ پاييزخوش كردم
شايداوحرفهاي پاييزيِ جامانده دردلم كه مجالي براي گفتنش نبود بتواند ادا كند!
#گلناز_عدالت
دلم رابه دخترك ته تقاريِ پاييزخوش كردم
شايداوحرفهاي پاييزيِ جامانده دردلم كه مجالي براي گفتنش نبود بتواند ادا كند!
#گلناز_عدالت
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سخنرانی #عادل_فردوسی_پور
عضو هیئت علمی دانشکده مهندسی صنایع دانشگاه شریف ؛
در مراسم بزرگداشت امروز پروفسور مریم میرزاخانی
عضو هیئت علمی دانشکده مهندسی صنایع دانشگاه شریف ؛
در مراسم بزرگداشت امروز پروفسور مریم میرزاخانی
Henri Paul Cartan (1904-2008) was a French mathematician with substantial contributions in algebraic topology. He was the son of the French mathematician Élie Cartan.
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@harmoniclib
S0002-9904-1977-14316-4.pdf
3.9 MB
ULTRAFILTERS: SOME OLD AND SOME NEW
RESULTS
BY W. W. COMFORT
RESULTS
BY W. W. COMFORT
Claude Chevalley (centre) avecYasuo Akizuki (gauche) et Akira Kobori (droite)
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@harmoniclib
Claude Chevalley (1909 – 1984) was a French mathematician who made important contributions to number theory, algebraic geometry, class field theory, finite group theory, and the theory of algebraic groups. He was a founding member of the Bourbaki group.
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@harmoniclib