Some remarks on Hausdorff gaps and automorphisms of P(ω)/fin
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RIS BIB ENDNOTESome remarks on Hausdorff gaps and automorphisms of P(ω)/fin
Publication date: 10.02.2015
Technical Transactions, 2014, Fundamental Sciences Issue 3 NP (17) 2014, pp. 13-19
https://doi.org/10.4467/2353737XCT.14.308.3396Authors
Some remarks on Hausdorff gaps and automorphisms of P(ω)/fin
We present, under the Continuum Hypothesis (CH), a construction of an automorphism of P(ω)/fin which maps a Hausdorff gap onto increasingly ordered gap of type (w1, w1) which is not a Hausdorff gap.
F Hausdorff Summen von Mengen, F. Mengen, Fund. Math. 26, 1936, 241-255
Rudin W., Homogenity problems in the theory of Čech compactification, Duke Math. Journal 23, 1956, 409-419.
Shelah S., Proper Forcing, Lecture Notes in Mathematics 940, Springer Verlag, Berlin 1982.
Steprans J., Shelah S., PFA implies all automorphisms are trivial, Proc. Amer. Math. Soc. vol. 104, no. 4, 1988, 1220-1225.
Sikorski R., On an analogy between measures and homomorphisms, Ann. Soc. Pol. Math. 23, 1950, 1-20.
Sikorski R., Boolean Algebras, Sprnger-Verlag, Berlin 1969.
Velickovic B., OCA and automorphisms of P(ω)/fin Topology and its Applications, vol. 49, 1993, 1-13.
Information: Technical Transactions, 2014, Fundamental Sciences Issue 3 NP (17) 2014, pp. 13-19
Article type: Original article
Titles:
Some remarks on Hausdorff gaps and automorphisms of P(ω)/fin
Some remarks on Hausdorff gaps and automorphisms of P(ω)/fin
Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
Published at: 10.02.2015
Article status: Open
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