Previous talks this semester:
21.03.2023, Tuesday 10.15, room 403
Krzysztof Zakrzewski (MIMUW)
Title: An elementary proof of the Eberlein-Smulian theorem. Continuation.
Abstract: "We will give a brief proof of the Eberlein-Smulian theorem
which says that for a subset of a Banach space endowed with the weak topology
three conditions are equivalent, namely: conditional compactness,
conditional sequential compactness and conditional countable
compactness. The proof will use standard results from theory of Banach
spaces, namely Alaoglu's theorem and the Hahn-Banach theorem.
The talk is based on the article "An Elementary Proof of
Eberlein-Smulian Theorem" by Robert Whitley (Math. Ann. 1967)"
14.03.2023, Tuesday 10.15, room 403
Krzysztof Zakrzewski (MIMUW)
Title: An elementary proof of the Eberlein-Smulian theorem.
Abstract: "We will give a brief proof of the Eberlein-Smulian theorem
which says that for a subset of a Banach space endowed with the weak topology
three conditions are equivalent, namely: conditional compactness,
conditional sequential compactness and conditional countable
compactness. The proof will use standard results from theory of Banach
spaces, namely Alaoglu's theorem and the Hahn-Banach theorem.
The talk is based on the article "An Elementary Proof of
Eberlein-Smulian Theorem" by Robert Whitley (Math. Ann. 1967)"
7.03.2023, Tuesday 10.15, room 403
Piotr Koszmider (IMPAN)
Title: Stepping-up with an Aronszajn tree and adding a Cohen real.
Abstract: "We will discuss classical techniques involving almost coherent families of injections
from countable ordinals into ω and involving adding a Cohen real. Applications will include:
The existence of a strong Luzin set implies the existence of a coloring of pairs of ω1
with very strong multidimensional antiramsey properties; adding one Cohen real to any model produces a Suslin tree
and produces an entangled set of reals etc."
Talks in the second semester of 2022-23.
Talks in the second semester of 2021-22.
Talks in the first semester of 2021-22.
Talks in the second semester of 2020-21.
Talks in the first semester of 2020-21.
Talks in the second semester of 2019-20.
Talks in the first semester of 2019-20.
Talks in the second semester of 2018-19.
Talks in the first semester of 2018-19.
Talks in the second semester of 2017-18.
Talks in the first semester of 2017-18.
Talks in the second semester of 2016-17.
Talks in the first semester of 2016-17.
Talks in the second semester of 2015-16.
Talks in the first semester of 2015-16.
Talks in the second semester of 2014-15.
Talks in the first semester of 2014-15.
Talks in the second semester of 2013-14.
Talks in the first semester of 2013-14.
Talks in the second semester of 2012-13.
Talks in the first semester of 2012-13.
Talks in the second semester of 2011-12.
Talks in the first semester of 2011-12.
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