# Fixed point sets of Tychonov cubes

@article{Chigogidze1995FixedPS,
title={Fixed point sets of Tychonov cubes},
author={A. Chigogidze and John R. Martin},
journal={Topology and its Applications},
year={1995},
volume={64},
pages={201-218}
}
• Published 1995
• Mathematics
• Topology and its Applications
Abstract We give a spectral characterization of the compacta (compact Hausdorff spaces) which admit embeddings into uncountable products of the closed unit interval such that the embedded images coincide with the fixed point sets of (continuous) self-mappings of those products. An example of P. Koszmider is used to show that there is a zero-dimensional compactum of weight ω 1 which admits no such embedding into any ANR(compact Hausdorff)-spaces. This is in contrast to the metric case where it… Expand
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