An axiomatic definition of Hausdorff measure

Miloslav Jůza

Časopis pro pěstování matematiky (1979)

  • Volume: 104, Issue: 1, page 9-44
  • ISSN: 0528-2195

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Jůza, Miloslav. "Définition axiomatique de la mesure de Hausdorff." Časopis pro pěstování matematiky 104.1 (1979): 9-44. <http://eudml.org/doc/21364>.

@article{Jůza1979,
author = {Jůza, Miloslav},
journal = {Časopis pro pěstování matematiky},
keywords = {Set Function; Lebesgue Measure; Partial Derivative; Hausdorff Measure},
language = {fre},
number = {1},
pages = {9-44},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Définition axiomatique de la mesure de Hausdorff},
url = {http://eudml.org/doc/21364},
volume = {104},
year = {1979},
}

TY - JOUR
AU - Jůza, Miloslav
TI - Définition axiomatique de la mesure de Hausdorff
JO - Časopis pro pěstování matematiky
PY - 1979
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 104
IS - 1
SP - 9
EP - 44
LA - fre
KW - Set Function; Lebesgue Measure; Partial Derivative; Hausdorff Measure
UR - http://eudml.org/doc/21364
ER -

References

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  1. H. Lebesgue, Leçons sur l'intégration et la recherche des fonctions primitives, Paris 1904. (1904) Zbl54.0257.01
  2. C. Carathéodory, Über das lineare Mass von Punktmengen - eine Verallgemeinerung des Längenbegriffs, Nachrichten der K. Gessellschaft der Wissenschaften zu Göttingen, Math. phys. Klasse, 1914, 404-426. (1914) Zbl45.0443.01
  3. F. Hausdorff, Dimension und äusseres Mass, Mathematische Annalen, 79, 1919, 157-179. (1919) 
  4. C. A. Rogers, Hausdorff Measures, Cambridge University Press, 1970. (1970) Zbl0204.37601MR0281862
  5. V. Jarník, Diferenciální počet II, Praha 1953. (1953) 
  6. V. Jarník, Integrální počet II, Praha 1955. (1955) 
  7. И. П. Натансон, Теория функций вещественной переменной, Москва 1957. (1957) Zbl0995.90594
  8. G. de Rham, Variétés différentiables, Paris 1955. (1955) Zbl0065.32401
  9. A. Sard, The measure of the critical values of differentiable maps, Bull. of the Amer. Math. Soc. 48, 1942, 883-897. (1942) Zbl0063.06720MR0007523
  10. E. Kreyszig, Differentialgeometrie, Leipzig 1957. (1957) Zbl0077.15201MR0095476
  11. G. Pickert, Analytische Geometrie, Leipzig 1955. (1955) Zbl0051.37502
  12. E. Čech, Základy analytické geometrie I, Praha 1951. (1951) 

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