On the dimension of the product of Tychonoff spaces
โ Scribed by Kiiti Morita
- Publisher
- Elsevier Science
- Year
- 1973
- Weight
- 1005 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0016-660X
No coin nor oath required. For personal study only.
โฆ Synopsis
covering dimension in the modified sense of Kae&ov and Smirnov it t the theorem in dimension theory holds for the case of the product of a Tyckonaff space with a iocaily compact paracompact Hausdorff space.
๐ SIMILAR VOLUMES
Lin, C., The dimension of the Cartesian product of posets, Discrete Mathematics 88 (1991) 79-92. We give a characterization of nonforced pairs in the Cartesian product of two posets, and apply this to determine the dimension of P X Q, where P, Q are some subposets of 2" and 2" respectively. One of
If P and Q are partial orders, then the dimension of the cartesian product P x Q does not exceed the sum of the dimensions of P and Q. There are several known sufficient conditions for this bound to be attained, on the other hand, the only known lower bound for the dimension of a cartesian product i