References
R. H. Bing, A simple closed curve is the only homogeneous bounded plane contnuous that contains an arc,Canad. J. Math. 12 (1960), 209–230.
R. H. Bing, Embedding circle-like continua in the plane,Canad. J. Math. 14 (1962), 113–128.
M. Friedberg andW. Mahavier, Semigroups on chainable and circle-like continua,Math. Z. 106 (1968), 159–161.
A. M. Gleason, Arcs in locally compact groups,Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 663–667.
O. H. Hamilton, A fixed point for pseudo-arcs and certain other metric continua,Proc. Amer. Math. Soc. 2 (1951), 173–174.
K. Hofmann andP. Mostert,Elements of Compact Semigroups, Merrill, New York, 1966.
R. P. Hunter, Certain upper semi-continuous decompositions of a semigroup,Duke Math. J. 27 (1960), 283–289.
R. P. Hunter, On the structure of homogroups with applications to the theory of compact connected semigroups,Fund. Math. 52 (1963), 69–102.
W. T. Ingram, Concerning non-planar circle-like continua,Canad. J. Math. 19 (1967), 242–250.
D. Montgomery andL. Zippin,Topological Transformation Groups, Interscience, New York, 1955.
E. H. Spanier,Algebraic Topology, McGraw-Hill, New York, 1966.
D. P. Stadtlander, Thread actions,Duke Math. J. 35 (1968), 483–490.
D. P. Stadtlander, Semigroup actions and dimension,Aequationes Math. 3 (1969), 1–14.
D. P. Stadtlander, Actions with topologically restricted state spaces, II,Duke Math. J. 38 (1971), 7–14.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Stadtlander, D. Actions on plane continua. Math. Systems Theory 7, 338–343 (1973). https://doi.org/10.1007/BF01890608
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01890608