On the Borel class of the derived set operator

Douglas Cenzer; R. Daniel Mauldin

Bulletin de la Société Mathématique de France (1982)

  • Volume: 110, page 357-380
  • ISSN: 0037-9484

How to cite

top

Cenzer, Douglas, and Mauldin, R. Daniel. "On the Borel class of the derived set operator." Bulletin de la Société Mathématique de France 110 (1982): 357-380. <http://eudml.org/doc/87423>.

@article{Cenzer1982,
author = {Cenzer, Douglas, Mauldin, R. Daniel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {derived set operator; higher derived set operator; Borel class; stitching operator},
language = {eng},
pages = {357-380},
publisher = {Société mathématique de France},
title = {On the Borel class of the derived set operator},
url = {http://eudml.org/doc/87423},
volume = {110},
year = {1982},
}

TY - JOUR
AU - Cenzer, Douglas
AU - Mauldin, R. Daniel
TI - On the Borel class of the derived set operator
JO - Bulletin de la Société Mathématique de France
PY - 1982
PB - Société mathématique de France
VL - 110
SP - 357
EP - 380
LA - eng
KW - derived set operator; higher derived set operator; Borel class; stitching operator
UR - http://eudml.org/doc/87423
ER -

References

top
  1. [1] CENZER (D.) and MAULDIN (R. D.). — Inductive definability : measure and category, Advances in Math. 38, 55-90, 1980. Zbl0466.03018MR82b:03086
  2. [2] DELLACHERIE (C.). — Les dérivations en théorie descriptive des ensembles et le théorème de la borne. Séminaire de Probabilities XI. Université de Strasbourg. Lecture Notes in Math., vol. 581, Springer-Verlag, 34-46, 1977. Zbl0366.02045MR56 #13185
  3. [3] HILLARD (G.). — Exemples de normes en théorie descriptive des ensembles, Thèse, Université de Strasbourg, 1977. 
  4. [4] KECHRIS (A. S.) and MARTIN (D. A.). — A note on universal sets for classes of countable Gδs, Mathematika 22, 43-45, 1975. Zbl0307.54040MR54 #8593
  5. [5] KURATOWSKI (K.). — Sur les décompositions semi-continus d'espaces métriques compacts, Fund. Math. 11, 169-185, 1928. Zbl54.0627.01JFM54.0627.01
  6. [6] KURATOWSKI (K.). — Topology, Vol. I, Academic Press, 1968. Zbl0158.40802MR41 #4467
  7. [7] KURATOWSKI (K.). — Topology, Vol. II, Academic Press, 1968. MR41 #4467
  8. [8] KURATOWSKI (K.). — Some problems concerning semi-continuous set-valued mappings, Set-Valued Mappings, Selections and Topological Properties of 2x, Lecture Notes in Math., Vol. 171, Springer-Verlag, 45-48, 1970. Zbl0205.26803MR43 #4006
  9. [9] KURATOWSKI (K.) and MOSTOWSKI (A.). — Set Theory, North-Holland, 1976. Zbl0337.02034MR58 #5230
  10. [10] MAULDIN (R. D.). — On non-isomorphic analytic sets. Proc. Amer. Math. Soc. 58, 241-244, 1976. Zbl0335.54029MR55 #4114
  11. [11] MAULDIN (R. D.). — The boundedness of the Cantor-Bendixson order of some analytic sets, Pacific J. Math. 7, 1977. Zbl0375.54030
  12. [12] MAULDIN (R. D.). — Some selection theorems and problems, Measure Theory, Oberwolfach 1979, Lectures Notes in Mathematics, Vol. 794, Springer-Verlag, 160-165, 1980. Zbl0459.28006

NotesEmbed ?

top

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.