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'Cantor space'
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| Title of object: |
Cantor space |
| Canonical Name: |
CantorSpace |
| Type: |
Definition |
| Created on: |
2003-07-10 20:57:39 |
| Modified on: |
2003-07-12 17:20:01 |
| Classification: |
msc:22-XX |
| Keywords: |
Cantor, Polish space, binary sequence, language |
Preamble:
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Content:
{\it Cantor space} denoted $\mathbf{C}$ is the set of all infinite binary sequences with the product topology. It is a perfect Polish space. It is a compact subspace of Baire space, which is the set of all infinite sequences of integers with the natural product topology.
Refer to {\it Descriptive Set Theory} by Yiannis Nicholas Moschovakis.
\bibliographystyle{amsxport}
\begin{bibdiv}
\begin{biblist}
\bib{M80}{book}{
author={Moschovakis, Yiannis N.},
title={Descriptive Set Theory},
year={1980},
publisher={Amsterdam ; New York : North-Holland Pub. Co.},
\end{biblist}
\end{bibdiv} |
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