Work

A Topology for Engel Expansions: Evaluation and Digit Coding Maps

Year: 2026

Type: article

Abstract: We develop a topological framework for Engel expansions that treats both directions of the correspondence between points of $(0,1]$ and nondecreasing digit sequences. We endow the sequence space with the product topology to study the evaluation map, and we fix a nonterminating digit algorithm to study the digit coding map. We also record the correspondence between cylinder sets and fundamental intervals and give an application to Baire category results for functions of the digits.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972726101300

Author: MIN WOONG AHN

Institution: Dankook University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

OpenAlex ID: W4417100735

FWCI:

Cites: 12

Cited by:

Related to: 10