The projective properties of the extreme path derivatives

Milan Matejdes

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 4, page 451-464
  • ISSN: 0139-9918

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Matejdes, Milan. "The projective properties of the extreme path derivatives." Mathematica Slovaca 42.4 (1992): 451-464. <http://eudml.org/doc/32382>.

@article{Matejdes1992,
author = {Matejdes, Milan},
journal = {Mathematica Slovaca},
keywords = {measurability; projective sets; Borel classification; projective classification; projective properties; extreme path derivatives},
language = {eng},
number = {4},
pages = {451-464},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The projective properties of the extreme path derivatives},
url = {http://eudml.org/doc/32382},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Matejdes, Milan
TI - The projective properties of the extreme path derivatives
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 4
SP - 451
EP - 464
LA - eng
KW - measurability; projective sets; Borel classification; projective classification; projective properties; extreme path derivatives
UR - http://eudml.org/doc/32382
ER -

References

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  1. ALIKHANI-KOOPAEI A., Borel measurability of extreme path derivatives, Real Anal. Exchange 12 (1986-87), 216-246. (1986) Zbl0631.26002MR0873894
  2. BRUCKNER A., O'MALLEY R., THOMSON B. S., Path derivatives: A unified view of certain generalized derivatives, Trans. Amer. Math. Soc. 283 (1984), 97-125. (1984) Zbl0541.26003MR0735410
  3. HIMMELBERG J., Measurable relations, Fund. Math. 87 (1975), 53-72. (1975) Zbl0296.28003MR0367142
  4. JARNÍK V., Über die Differenzierbarkeit stetizer Funktionen, Fund. Math. 21 (1933), 48-58. (1933) 
  5. KURATOWSKI C., Topologie I., PWN, Warszawa, 1952. (1952) 
  6. KURATOWSKI K., The σ-algebra generated by Souslin sets and its applications to set-valued mappings and to selector problems, Boll. Un. Mat. Ital. (Suppl. dedicato a Giovanni Sansone) 11 (1975), 285-298. (1975) MR0415566
  7. KURATOWSKI K., MOSTOWSKI A., Set Theory with an Introduction to Descriptive Set Theory, (Polish), PWN, Warszawa, 1978. (1978) MR0514701
  8. MATEJDES M., The semi Borel classification of the extreme path derivatives, Real Anal. Exchange 15 (1989-90), 216-238. (1989) MR1042538
  9. MATEJDES M., Path differentiation in the Borel setting, Real Anal. Exchange 16 (1990-91), 311-318. (1990) MR1087496

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