Multicoherence techniques applied to inverse limits
HTML articles powered by AMS MathViewer
- by Sam B. Nadler PDF
- Trans. Amer. Math. Soc. 157 (1971), 227-234 Request permission
Abstract:
Sufficient conditions are given so that the multicoherence degree of continua is not raised when taking inverse limits. These results are then applied to inverse limits of special types of spaces.References
- R. H. Bing, Snake-like continua, Duke Math. J. 18 (1951), 653–663. MR 43450
- R. H. Bing, Embedding circle-like continua in the plane, Canadian J. Math. 14 (1962), 113–128. MR 131865, DOI 10.4153/CJM-1962-009-3
- K. Borsuk, A theorem on fixed points, Bull. Acad. Polon. Sci. Cl. III. 2 (1954), 17–20. MR 0064393
- C. E. Capel, Inverse limit spaces, Duke Math. J. 21 (1954), 233–245. MR 62417
- C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200–242. MR 20771, DOI 10.2307/2371848
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886
- M. K. Fort Jr. and Jack Segal, Local connectedness of inverse limit spaces, Duke Math. J. 28 (1961), 253–259. MR 126253
- Sibe Mardešić and Jack Segal, $\varepsilon$-mappings onto polyhedra, Trans. Amer. Math. Soc. 109 (1963), 146–164. MR 158367, DOI 10.1090/S0002-9947-1963-0158367-X
- C. N. Maxwell, An order relation among topological spaces, Trans. Amer. Math. Soc. 99 (1961), 201–204. MR 120624, DOI 10.1090/S0002-9947-1961-0120624-9
- Michael C. McCord, Embedding ${\cal P}$-like compacta in manifolds, Canadian J. Math. 19 (1967), 321–332. MR 212804, DOI 10.4153/CJM-1967-023-8
- Sam B. Nadler Jr., Inverse limits and multicoherence, Bull. Amer. Math. Soc. 76 (1970), 411–414. MR 253299, DOI 10.1090/S0002-9904-1970-12493-4
- Sam B. Nadler Jr., Arc components of certain chainable continua, Canad. Math. Bull. 14 (1971), 183–189. MR 310851, DOI 10.4153/CMB-1971-033-8
- J. T. Rogers Jr., Mapping the pseudo-arc circle-like, self-entwined continua, Michigan Math. J. 17 (1970), 91–96. MR 257983
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 157 (1971), 227-234
- MSC: Primary 54.25
- DOI: https://doi.org/10.1090/S0002-9947-1971-0279761-7
- MathSciNet review: 0279761