## Dimension of stratifiable spaces

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- by Shinpei Oka PDF
- Trans. Amer. Math. Soc.
**275**(1983), 231-243 Request permission

## Abstract:

We define a subclass, denoted by $E{M_3}$, of the class of stratifiable spaces, and obtain several dimension theoretical results for $E{M_3}$ including the coincidence theorem for dim and Ind. The class $E{M_3}$ is countably productive, hereditary, preserved under closed maps and, furthermore, the largest subclass of stratifiable spaces in which a harmonious dimension theory can be established.## References

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## Additional Information

- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**275**(1983), 231-243 - MSC: Primary 54E20; Secondary 54E18, 54F45
- DOI: https://doi.org/10.1090/S0002-9947-1983-0678346-6
- MathSciNet review: 678346