Cancellation of 3-Point Topological Spaces
DOI:
https://doi.org/10.4995/agt.2008.1864Keywords:
Homeomorphism, Cancellation problem, 3-point spacesAbstract
The cancellation problem, which goes back to S. Ulam, is formulated as follows:
Given topological spaces X, Y, Z, under what circumstances does X × Z ≈Y × Z (≈ meaning homeomorphic to) imply X ≈ Y ?
In it is proved that, for T0 topological spaces and denoting by S the Sierpinski space, if X × S≈Y × S then X≈Y.
This note concerns all nine (up to homeomorphism) 3-point spaces, which are given in.
Downloads
References
B. Banaschewski and R. Lowen, A cancellation law for partially ordered sets and T0 spaces, Proc. Amer. Math. Soc. 132 (2004).
R. H. Fox, On a problem of S. Ulam concerning cartesian products, Fund. Math. 27 (1947).
K. D. Magill Jr, Universal topological spaces, Amer. Math. Monthly 95 (1988).
J. R. Munkres, Topology, a first course, Prentice-Hall, Inc., 1975.
Downloads
How to Cite
Issue
Section
License
This journal is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike- 4.0 International License.
