THE CANONICAL LATTICE ISOMORPHISM BETWEEN TOPOLOGIES COMPATIBLE WITH A VECTOR SPACE AND SUBSPACES

Author:

Aoyama Takanobu

Publisher

Institute of Mathematics, University of Tsukuba

Subject

General Medicine

Reference9 articles.

1. [1] Arnautov, V. I. and Filippov, K. M., Lattices of topologies of algebraic systems, Algebra Discrete Math. (2006), no. 2, 1–16.

2. [2] Birkhoff, G., On the combination of topologies, Fund. Math. 26 (1936), 156–166.

3. [3] Bourbaki, N., Topological Vector Spaces, 1981. (French) (English translated version: Topological Vector Spaces Chapter 1–5, Translated by H. G. Eggleton, S. Madan, 1987, Springer-Verlag.)

4. [4] Chen, Y., The topological structure of non-Hausdorff linear topological space, Xi’an Jiaotong Daxue Xuebao, 29 (1995), no. 10, 114–117, 126. (Chinese)

5. [5] Kelly, J. L., Namioka, I. and coauthors, Linear Topological Spaces, D. van Nostrand, 1963.

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