Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Linearization of homeomorphism groups


Author: Su Shing Chen
Journal: Proc. Amer. Math. Soc. 52 (1975), 447-450
MSC: Primary 57E05
DOI: https://doi.org/10.1090/S0002-9939-1975-0380842-7
MathSciNet review: 0380842
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A theorem of Beboutov and Kakutani is extended to a large class of homeomorphism groups.


References [Enhancements On Off] (What's this?)

  • [1] S. Chen and R. Yoh, The category of generalized Lie groups, Trans. Amer. Math. Soc. 199 (1974), 281-294. MR 0352334 (50:4821)
  • [2] A. M. Gleason and R. S. Palais, On a class of transformation groups, Amer. J. Math. 79 (1957), 631-648. MR 19, 663. MR 0089367 (19:663d)
  • [3] K. Hofmann, Introduction to the theory of compact groups, Tulane University Lecture Notes, 1968.
  • [4] S. Kakutani, A proof of Beboutov's theorem, J. Differential Equations 4 (1968), 194-201. MR 37 #1734. MR 0226144 (37:1734)
  • [5] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York and London, 1955. MR 17, 383. MR 0073104 (17:383b)
  • [6] G. D. Mostow, Equivariant embeddings in Euclidean space, Ann. of Math. (2) 65 (1957), 432-446. MR 19, 291. MR 0087037 (19:291c)
  • [7] -, On a conjecture of Montgomery, Ann. of Math. (2) 65 (1957), 513-516. MR 19, 292. MR 0087039 (19:292b)
  • [8] S. Chen, An extension of the Kakutani-Beboutov system, J. Differential Equations 18 (1975). MR 0372835 (51:9039)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57E05

Retrieve articles in all journals with MSC: 57E05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0380842-7
Keywords: Homeomorphism, $ 1$-parameter subgroup
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society