Continua and various types of homogeneity
HTML articles powered by AMS MathViewer
- by C. E. Burgess PDF
- Trans. Amer. Math. Soc. 88 (1958), 366-374 Request permission
References
- R. H. Bing, Some characterizations of arcs and simple closed curves, Amer. J. Math. 70 (1948), 497–506. MR 25722, DOI 10.2307/2372193
- R. H. Bing and F. B. Jones, Another homogeneous plane continuum, Trans. Amer. Math. Soc. 90 (1959), 171–192. MR 100823, DOI 10.1090/S0002-9947-1959-0100823-3
- C. E. Burgess, Continua which are the sum of a finite number of indecomposable continua, Proc. Amer. Math. Soc. 4 (1953), 234–239. MR 54244, DOI 10.1090/S0002-9939-1953-0054244-2
- C. E. Burgess, Some theorems on $n$-homogeneous continua, Proc. Amer. Math. Soc. 5 (1954), 136–143. MR 61367, DOI 10.1090/S0002-9939-1954-0061367-1
- C. E. Burgess, Collections and sequences of continua in the plane, Pacific J. Math. 5 (1955), 325–333. MR 71760
- C. E. Burgess, Certain types of homogeneous continua, Proc. Amer. Math. Soc. 6 (1955), 348–350. MR 69485, DOI 10.1090/S0002-9939-1955-0069485-X
- Herman J. Cohen, Some results concerning homogeneous plane continua, Duke Math. J. 18 (1951), 467–474. MR 40652
- F. Burton Jones, Aposyndetic continua and certain boundary problems, Amer. J. Math. 63 (1941), 545–553. MR 4771, DOI 10.2307/2371367
- F. Burton Jones, A note on homogeneous plane continua, Bull. Amer. Math. Soc. 55 (1949), 113–114. MR 28581, DOI 10.1090/S0002-9904-1949-09181-4
- F. Burton Jones, Certain homogeneous unicoherent indecomposable continua, Proc. Amer. Math. Soc. 2 (1951), 855–859. MR 45372, DOI 10.1090/S0002-9939-1951-0045372-4
- F. Burton Jones, On a certain type of homogeneous plane continuum, Proc. Amer. Math. Soc. 6 (1955), 735–740. MR 71761, DOI 10.1090/S0002-9939-1955-0071761-1 Casimir Kuratowski, Sur les coupures irréductibles du plan, Fund. Math. vol. 6 (1924) pp. 130-145. Stefan Mazurkiewicz, Sur les continus homogènes, Fund. Math. vol. 5 (1924) pp. 137-146. R. L. Moore, Concerning the common boundary of two domains, Fund. Math. vol. 6 (1924) pp. 203-213. —, Foundations of point set theory, Amer. Math. Soc. Colloquium Publications, vol. 13, 1932.
- N. E. Rutt, Some Theorems on Triodic Continua, Amer. J. Math. 56 (1934), no. 1-4, 122–132. MR 1507007, DOI 10.2307/2370919 W. Sierpinski, Sur une courbe cantorienne que contient une image biunivoque et continue de toute courbe donnée, C. R. Acad. Sci. Paris vol. 162 (1916) pp. 629-632. R. H. Sorgenfry, Concerning triodic continua, Amer. J. Math. vol. 66 (1944) pp. 439-460.
- G. T. Whyburn, Local separating points of continua, Monatsh. Math. Phys. 36 (1929), no. 1, 305–314. MR 1549688, DOI 10.1007/BF02307620
- G. T. Whyburn, Concerning Hereditarily Locally Connected Continua, Amer. J. Math. 53 (1931), no. 2, 374–384. MR 1506825, DOI 10.2307/2370791
- G. T. Whyburn, Semi-locally connected sets, Amer. J. Math. 61 (1939), 733–749. MR 182, DOI 10.2307/2371330
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 88 (1958), 366-374
- MSC: Primary 54.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095459-6
- MathSciNet review: 0095459