Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2009; 46(4): 841-857

Printed July 1, 2009

https://doi.org/10.4134/JKMS.2009.46.4.841

Copyright © The Korean Mathematical Society.

On computer topological function space

Sang-Eon Han and Dimitris N. Georgiou

Chonbuk National University and University of Patras

Abstract

In this paper, we give and study the notion of computer topological function space between computer topological spaces with $k_i$-adjacency, $i \in \{0, 1\}$. Using this notion, we study various properties of topologies of a computer topological function space.

Keywords: computer topological (product) space, N-compatible, generalized $(k_0, k_1)$-continuous function, computer topological function space, ${\mathcal A}$-splitting, ${\mathcal A}$-admissible

MSC numbers: 54C05, 54C35, 54F05, 68U05

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