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Part of the book series: Seminars in Mathematics ((SM,volume 4))

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Abstract

Some questions connected with the carry over of fundamental group theory to constructive mathematics, and with the relationship between classical and constructive group theories are considered herein. All the considerations are carried out within the scope of constructive mathematics.

The main results of this note were presented to the Leningrad Seminar on Constructive Mathematics on October 28, 1966.

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Literature Cited

  1. Moschovakis, Y. N., “Notation systems and recursive ordered fields,” Compositio Math. 17(1): 40–71 (1965).

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  2. Rabin, M. O., “Computable algebra, general theory and theory of computable fields,” Trans. Am. Math. Soc., 95(2):341–360 (1960).

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  3. Shanin, N. A., “Constructive real numbers and constructive functional spaces,” Trudy Steklov Mat Inst. Akad. Nauk SSSR, 67:15–294 (1962).

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  4. Shanin, N. A., “On constructive comprehension of mathematical judgments,” Trudy Steklov Mat. Inst. Akad. Nauk SSSR, 52:226–311 (1958).

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Authors

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A. O. Slisenko

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© 1969 Consultants Bureau

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Lifshits, V.A. (1969). On Constructive Groups. In: Slisenko, A.O. (eds) Studies in Constructive Mathematics and Mathematical Logic. Seminars in Mathematics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8968-2_9

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  • DOI: https://doi.org/10.1007/978-1-4684-8968-2_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8970-5

  • Online ISBN: 978-1-4684-8968-2

  • eBook Packages: Springer Book Archive

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