An arc as the inverse limit of a single nowhere strictly monotone bonding map on [0,1]

Rogers, J. W.

doi:10.1090/S0002-9939-1968-0224057-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

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An arc as the inverse limit of a single nowhere strictly monotone bonding map on $[0, 1]$
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by J. W. Rogers

Proc. Amer. Math. Soc. 19 (1968), 634-638

DOI: https://doi.org/10.1090/S0002-9939-1968-0224057-8

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References

R. H. Bing, Snake-like continua, Duke Math. J. 18 (1951), 653–663. MR 43450
C. E. Capel, Inverse limit spaces, Duke Math. J. 21 (1954), 233–245. MR 62417, DOI 10.1215/S0012-7094-54-02124-9
George W. Henderson, The pseudo-arc as an inverse limit with one binding map, Duke Math. J. 31 (1964), 421–425. MR 166766
William S. Mahavier, A chainable continuum not homeomorphic to an inverse limit on $[0,\,1]$ with only one bonding map, Proc. Amer. Math. Soc. 18 (1967), 284–286. MR 208580, DOI 10.1090/S0002-9939-1967-0208580-7