On the large transfinite inductive dimension of a space by a normal base

Authors

  • D. N. Georgiou University of Patras, Department of Mathematics, 265 04 Patras, Greece Author
  • S. D. Iliadis Moscow State University, Faculty of Mechanics and Mathematics, Russia Author
  • K. L. Kozlov Moscow State University, Faculty of Mechanics and Mathematics, Russia Author

Keywords:

Dimension-like function, Normal base

Subjects:

54B99, 54C25

Abstract

The transfinite inductive dimensions of a space bya normal bases introduced by S. D. Iliadis are studied. Thesedimensions generalize both classical large transfinite inductivedimension and relative large transfinite inductive dimensions. Themain theorems of dimension theory (sum theorem, subset theorem,product theorem) are proved.

Downloads

Published

2009-01-15

Issue

Vol. 61 No. 1 (2009): Vol. 61, Issue 1

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.