Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Intervals of continua which are Hilbert cubes

Author: Carl Eberhart
Journal: Proc. Amer. Math. Soc. 68 (1978), 220-224
MSC: Primary 54F15; Secondary 57N20
MathSciNet review: 480197
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: If P is a subcontinuum of a metric continuum X, then by the interval of continua $ \mathcal{C}(P,X)$ we mean the space of all subcontinua of X which contain P (with the Hausdorff metric). We show that $ \mathcal{C}(P,X)$ is often homeomorphic with the Hilbert cube.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54F15, 57N20

Retrieve articles in all journals with MSC: 54F15, 57N20

Additional Information

PII: S 0002-9939(1978)0480197-6
Keywords: Interval of continua, annular pair, cover
Article copyright: © Copyright 1978 American Mathematical Society