Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

## Topology of Real Unitary Space

Noboru Endou
Gifu National College of Technology
Takashi Mitsuishi
Miyagi University
Yasunari Shidama
Shinshu University, Nagano

### Summary.

In this article we introduce three subjects in real unitary space: parallelism of subsets, orthogonality of subsets and topology of the space. In particular, to introduce the topology of real unitary space, we discuss the metric topology which is induced by the inner product in the space. As the result, we are able to discuss some topological subjects on real unitary space.

#### MML Identifier: RUSUB_5

The terminology and notation used in this paper have been introduced in the following articles            

#### Contents (PDF format)

1. Parallelism of Subspaces
2. Orthogonality
3. Topology of Real Unitary Space

#### Bibliography

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