Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

The essential part of a surface

Author(s): Paul V. Reichelderfer
Journal: Bull. Amer. Math. Soc. 53 (1947), 845-855.
MathSciNet review: 0021968
Retrieve article in: PDF

References | Additional information

References:

S. Banach, 1. Sur les lignes rectifiables et les surfaces dont l'aire est finie, Fund. Math. vol. 7 (1925) pp. 225-236.

Z. De Geöcze, 1. Quadrature des surfaces courbes, Mathematische und naturwissenschaftliche Berichte aus Ungarn vol. 26 (1908) pp. 1-88.

Z. De Geöcze, 2. Recherches générales sur la quadrature des surfaces courbes, First memoir, Mathematische und naturwissenschaftliche Berichte aus Ungarn vol. 27 (1909) pp. 1-21.

Z. De Geöcze, 3. Recherches générales sur la quadrature des surfaces courbes, Second memoir, Mathematische und Naturwissenschaftliche Berichte aus Ungarn vol. 27 (1909) pp. 131-163.

Z. De Geöcze, 4. Recherches générales sur la quadrature des surfaces courbes, Third memoir, Mathematische und Naturwissenschaftliche Berichte aus Ungarn vol. 30 (1912) pp. 1-29.

H. Lebesgue, 1. Intégrale, longueur, aire, Annali di Matematica pura ed applicata vol. 7 (1902) pp. 231-359.

T. Radó, 1. Sur l'aire des surfaces courbes, Acta Univ. Szeged, vol. 3 (1927) pp. 131-169.

T. Radó, 2. Über das Flächenmass rektifizierbarer Flächen, Math. Ann. vol. 100 (1928) pp. 445-479. MR 1512495

T. Radó, 3. On absolutely continuous transformations in the plane, Duke Math. J. vol. 4 (1938) pp. 189-221. MR 1546044

T. Radó, 4. Length and area, Amer. Math. Soc. Colloquium Publications, vol. 30, not yet published. MR 24511

T. Radó and P. Reichelderfer, 1. A theory of absolutely continuous transformations in the plane, Trans. Amer. Math. Soc. vol. 49 (1941) pp. 258-307. MR 3698

P. V. Reichelderfer, 1. On bounded variation and absolute continuity for parametric representations of continuous surfaces, Trans. Amer. Math. Soc. vol. 53 (1943) pp. 251-291. MR 7917

P. V. Reichelderfer, 2. On the definition of the essential multiplicity for continuous transformations in the plane, Trans. Amer. Math. Soc. vol. 62 (1947) pp. 284-314. MR 21967

H. A. Schwarz, 1. Sur une définition erronée de l'aire d'une surface courbe, Gesammelte Mathematische Abhandlungen von H. A. Schwarz, vol. 2, 1890, pp. 309-311.


Additional Information:

DOI: 10.1090/S0002-9904-1947-08863-7
PII: S 0002-9904(1947)08863-7




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia