Sequentially continuous mappings of product spaces

D. V. Choodnovsky

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

  • page 1-15

How to cite


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

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 = {},
year = {1977-1978},

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 -
ER -


  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.