The number of continua
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- by F. W. Lozier and R. H. Marty PDF
- Proc. Amer. Math. Soc. 40 (1973), 271-273 Request permission
Abstract:
It is shown there are precisely ${2^n}$ topologically distinct continua of weight $n$ and power $m$ where $p \leqq n \leqq m$ and $p$ is the smallest cardinal for which there is a continuum of power $m$ and weight $p$. In particular, there are precisely ${2^m}$ topologically distinct continua of power $m$.References
- R. Engelking, Outline of general topology, North-Holland Publishing Co., Amsterdam; PWN—Polish Scientific Publishers, Warsaw; Interscience Publishers Division John Wiley & Sons, Inc., New York, 1968. Translated from the Polish by K. Sieklucki. MR 0230273
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 271-273
- MSC: Primary 54A25
- DOI: https://doi.org/10.1090/S0002-9939-1973-0328849-8
- MathSciNet review: 0328849