Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Net homotopy for compacta
HTML articles powered by AMS MathViewer

by D. E. Christie PDF
Trans. Amer. Math. Soc. 56 (1944), 275-308 Request permission
References
  • Paul Alexandroff, Untersuchungen über Gestalt und Lage abgeschlossener Mengen beliebiger Dimension, Ann. of Math. (2) 30 (1928/29), no. 1-4, 101–187 (German). MR 1502874, DOI 10.2307/1968272
  • P. Alexandroff and H. Hopf, Topologie. I, Die Grundlehren der mathematischen Wissenschaften, Band 45, Springer-Verlag, Berlin-New York, 1974. Berichtigter Reprint. MR 0345087, DOI 10.1007/978-3-642-65614-9
  • Samuel Eilenberg, Extension and classification of continuous mappings, Lectures in Topology, University of Michigan Press, Ann Arbor, Mich., 1941, pp. 57–99. MR 0005299
  • Hans Freudenthal, Entwicklungen von Räumen und ihren Gruppen, Compositio Math. 4 (1937), 145–234 (German). MR 1556968
  • W. Hurewicz, Beiträge zur Topologie der Deformationen. I. Hoherdimensionale Homotopiegruppen, Proceedings of Koninklijke Akademie van Wetenschappen te Amsterdam vol. 38 (1935) pp. 112-119. —, Beiträge zur Topologie der Deformationen. II. Homotopie- und Homologiegruppen, ibid. vol. 38 (1935) pp. 521-528.
  • Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
  • Atuo Komatu, Bemerkungen über die Fundamentalgruppe eines Kompaktums, Proc. Imp. Acad. Tokyo 13 (1937), no. 3, 56–58 (German). MR 1568452
  • Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, Vol. 27, American Mathematical Society, New York, 1942. MR 0007093, DOI 10.1090/coll/027
  • —, Topology, Amer. Math. Soc. Colloquium Publications, vol. 12, 1930. T. Nakasawa, Über die Abbildungskette vom Projektionsspektrum, Science Reports of the Tokyo Bunrika Daigaku vol. 3 (1938) No. 64.
  • Norman E. Steenrod, Universal Homology Groups, Amer. J. Math. 58 (1936), no. 4, 661–701. MR 1507191, DOI 10.2307/2371239
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 56.0X
  • Retrieve articles in all journals with MSC: 56.0X
Additional Information
  • © Copyright 1944 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 56 (1944), 275-308
  • MSC: Primary 56.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1944-0010971-3
  • MathSciNet review: 0010971