Embedding the hyperspaces of circle-like plane continua

Rogers, James T.

doi:10.1090/S0002-9939-1971-0273578-0

Embedding the hyperspaces of circle-like plane continua

Author: James T. Rogers
Journal: Proc. Amer. Math. Soc. 29 (1971), 165-168
MSC: Primary 54.55
DOI: https://doi.org/10.1090/S0002-9939-1971-0273578-0
MathSciNet review: 0273578
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Abstract: The author shows that the hyperspace of continua of a circle-like plane continuum is embeddable in ${E^3}$ . The restriction to plane continua is necessary, for the hyperspace of a solenoid is homeomorphic to the cone over that solenoid and hence not embeddable in ${E^3}$ .

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