Sequentially continuous mappings of product spaces

D. V. Choodnovsky

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978)

  • page 1-15

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Choodnovsky, D. V.. "Sequentially continuous mappings of product spaces." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978): 1-15. <http://eudml.org/doc/109188>.

@article{Choodnovsky1977-1978,
author = {Choodnovsky, D. V.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {continuity; sequential continuity; products; strongly sequential cardinals; Ulam measurable cardinals},
language = {eng},
pages = {1-15},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Sequentially continuous mappings of product spaces},
url = {http://eudml.org/doc/109188},
year = {1977-1978},
}

TY - JOUR
AU - Choodnovsky, D. V.
TI - Sequentially continuous mappings of product spaces
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1977-1978
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 15
LA - eng
KW - continuity; sequential continuity; products; strongly sequential cardinals; Ulam measurable cardinals
UR - http://eudml.org/doc/109188
ER -

References

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  1. [1] S. Mazur, On continuous mappings of Cartesian products, Fund. Math.39 (1952), 229-238. Zbl0050.16802MR55663
  2. [2] H.J. Keisler and A. Tarski, From accessible to inaccessible cardinals, Fund. Math.53 (1964), 225-308. Zbl0173.00802MR166107
  3. [3] S.M. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math.16 (1930), 140-150. Zbl56.0920.04JFM56.0920.04
  4. [4] D.V. Chudnovsky, Topological properties of Tikhonov powers of discrete spaces, Inst. Mat. Akad. Nauk Ukrain. SSR, Preprint 70-4, Kiev1970. 
  5. [5] R.B. Jensen, The fine structure of the constructible hierarchy, Ann. Math. Logic4 (1972), 229-308. Zbl0257.02035MR309729
  6. [6] N. Noble, The continuity of functions on Cartesian products, Trans. Amer. Math. Soc.149 (1970), 187-198. Zbl0229.54028MR257987
  7. [7] D.V. Chudnovsky, Sequentially continuous mappings and real-valued measurable cardinals, in Colloquia Mathematica Societatis Janos Bolyai. 10. Infinite and finite sets, Keszthely (Hungary), 1973, pp. 275-288, North-Holland Publ. Company, 1975. Zbl0324.02065MR505507
  8. [8] R.M. Solovay, Real-valued measurable cardinals, Proc. Symp. Pure Math.13, 1 (1971), 397-428. Zbl0222.02078MR290961
  9. [9] D.A. Martin and R.M. Solovay, Internal Cohen extensions, Ann. Math. Logic2 (1970), 143-178. Zbl0222.02075MR270904
  10. [10] A. Hajnal, Ulam matrices for inaccessible cardinals, Bull. Acad. Polon. Sci. Math. Astronom. Phys.17 (1969), 683-688. Zbl0212.32501MR260597

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