Journal of Formalized Mathematics
Volume 11, 1999
University of Bialystok
Copyright (c) 1999 Association of Mizar Users

## Homeomorphism between [:$\cal E^i_\rm T, \cal E^j_\rm T$:] and $\cal E^i+j_\rm T$

Artur Kornilowicz
University of Bialystok
This paper was written while the author visited Shinshu University, winter 1999.

### Summary.

In this paper we introduce the cartesian product of two metric spaces. As the distance between two points in the product we take maximal distance between coordinates of these points. In the main theorem we show the homeomorphism between [:${\cal E}^i_{\rm T}, {\cal E}^j_{\rm T}$:] and ${\cal E}^{i+j}_{\rm T}$.

#### MML Identifier: TOPREAL7

The terminology and notation used in this paper have been introduced in the following articles [15] [7] [20] [21] [5] [6] [4] [16] [14] [18] [11] [19] [1] [2] [9] [13] [3] [17] [12] [10] [8] [22]

Contents (PDF format)

#### Acknowledgments

I would like to thank Professor Yatsuka Nakamura for his help in the preparation of the article.

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