---
_id: '18260'
abstract:
- lang: eng
  text: "For uniform computability of regular sets in Euclidean space, previous work
    has identified twelve 'basic' notions, to (pairs of) which many previous notions
    considered in literature were shown to be equivalent.\r\n\r\nWith respect to those
    basic notions, we now investigate on the computability of natural OPERATIONS on
    regular sets: union, intersection, complement, convex hull, image, and pre-image
    under suitable classes of functions."
author:
- first_name: Martin
  full_name: Ziegler, Martin
  last_name: Ziegler
citation:
  ama: 'Ziegler M. Computable operators on regular sets. In: <i>Computability and
    Complexity in Analysis</i>. Vol 50. ; 2004:392-404. doi:<a href="https://doi.org/10.1002/malq.200310107">10.1002/malq.200310107</a>'
  apa: Ziegler, M. (2004). Computable operators on regular sets. <i>Computability
    and Complexity in Analysis</i>, <i>50</i>(4–5), 392–404. <a href="https://doi.org/10.1002/malq.200310107">https://doi.org/10.1002/malq.200310107</a>
  bibtex: '@inproceedings{Ziegler_2004, title={Computable operators on regular sets},
    volume={50}, DOI={<a href="https://doi.org/10.1002/malq.200310107">10.1002/malq.200310107</a>},
    number={4–5}, booktitle={Computability and Complexity in Analysis}, author={Ziegler,
    Martin}, year={2004}, pages={392–404} }'
  chicago: Ziegler, Martin. “Computable Operators on Regular Sets.” In <i>Computability
    and Complexity in Analysis</i>, 50:392–404, 2004. <a href="https://doi.org/10.1002/malq.200310107">https://doi.org/10.1002/malq.200310107</a>.
  ieee: 'M. Ziegler, “Computable operators on regular sets,” in <i>Computability and
    Complexity in Analysis</i>, 2004, vol. 50, no. 4–5, pp. 392–404, doi: <a href="https://doi.org/10.1002/malq.200310107">10.1002/malq.200310107</a>.'
  mla: Ziegler, Martin. “Computable Operators on Regular Sets.” <i>Computability and
    Complexity in Analysis</i>, vol. 50, no. 4–5, 2004, pp. 392–404, doi:<a href="https://doi.org/10.1002/malq.200310107">10.1002/malq.200310107</a>.
  short: 'M. Ziegler, in: Computability and Complexity in Analysis, 2004, pp. 392–404.'
date_created: 2020-08-25T10:31:45Z
date_updated: 2022-01-06T06:53:28Z
department:
- _id: '63'
doi: 10.1002/malq.200310107
intvolume: '        50'
issue: 4-5
language:
- iso: eng
page: 392-404
publication: Computability and Complexity in Analysis
publication_identifier:
  issn:
  - 0942-5616
  - 1521-3870
publication_status: published
status: public
title: Computable operators on regular sets
type: conference
user_id: '15415'
volume: 50
year: '2004'
...
---
_id: '18176'
author:
- first_name: Martin
  full_name: Ziegler, Martin
  last_name: Ziegler
citation:
  ama: Ziegler M. Computability on Regular Subsets of Euclidean Space. <i>Mathematical
    Logic Quarterly (MLQ)</i>. 2002;48(S1):157-181. doi:<a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>
  apa: Ziegler, M. (2002). Computability on Regular Subsets of Euclidean Space. <i>Mathematical
    Logic Quarterly (MLQ)</i>, <i>48</i>(S1), 157–181. <a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>
  bibtex: '@article{Ziegler_2002, title={Computability on Regular Subsets of Euclidean
    Space}, volume={48}, DOI={<a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>},
    number={S1}, journal={Mathematical Logic Quarterly (MLQ)}, author={Ziegler, Martin},
    year={2002}, pages={157–181} }'
  chicago: 'Ziegler, Martin. “Computability on Regular Subsets of Euclidean Space.”
    <i>Mathematical Logic Quarterly (MLQ)</i> 48, no. S1 (2002): 157–81. <a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>.'
  ieee: M. Ziegler, “Computability on Regular Subsets of Euclidean Space,” <i>Mathematical
    Logic Quarterly (MLQ)</i>, vol. 48, no. S1, pp. 157–181, 2002.
  mla: Ziegler, Martin. “Computability on Regular Subsets of Euclidean Space.” <i>Mathematical
    Logic Quarterly (MLQ)</i>, vol. 48, no. S1, 2002, pp. 157–81, doi:<a href="https://doi.org/10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4">10.1002/1521-3870(200210)48:1+&#60;157::aid-malq157&#62;3.0.co;2-4</a>.
  short: M. Ziegler, Mathematical Logic Quarterly (MLQ) 48 (2002) 157–181.
date_created: 2020-08-24T12:05:40Z
date_updated: 2022-01-06T06:53:26Z
department:
- _id: '63'
doi: 10.1002/1521-3870(200210)48:1+<157::aid-malq157>3.0.co;2-4
intvolume: '        48'
issue: S1
language:
- iso: eng
page: 157-181
publication: Mathematical Logic Quarterly (MLQ)
publication_identifier:
  issn:
  - 0942-5616
  - 1521-3870
publication_status: published
status: public
title: Computability on Regular Subsets of Euclidean Space
type: journal_article
user_id: '15415'
volume: 48
year: '2002'
...