Skip to content
Free planNo credit card requiredStart writing
AI for Research home
AI for Research home
Dashboard
Sign inGet started

article · LMS Journal of Computation and Mathematics · 2003

Strong and Uniform Continuity – the Uniform Space Case

Douglas Bridges, Luminiţa Vı̂ţă

Cited by 7Open access

Abstract

Abstract It is proved, within the constructive theory of apartness spaces, that a strongly continuous mapping from a totally bounded uniform space with a countable base of entourages to a uniform space is uniformly continuous. This lifts a result of Ishihara and Schuster from metric to uniform apartness spaces. The paper is part of a systematic development of computable topology using apartness as the fundamental notion.

Cite this paper

APA 7

Bridges, D., & Vı̂ţă, L. (2003). Strong and Uniform Continuity – the Uniform Space Case. LMS Journal of Computation and Mathematics, 6, 326–334. https://doi.org/10.1112/s1461157000000486

MLA 9

Bridges, Douglas, and Luminiţa Vı̂ţă. “Strong and Uniform Continuity – the Uniform Space Case.” LMS Journal of Computation and Mathematics, vol. 6, 2003, pp. 326–34, https://doi.org/10.1112/s1461157000000486.

Chicago

Bridges, Douglas, and Luminiţa Vı̂ţă. 2003. “Strong and Uniform Continuity – the Uniform Space Case.” LMS Journal of Computation and Mathematics 6: 326–34. https://doi.org/10.1112/s1461157000000486.

Harvard

Bridges, D. and Vı̂ţă, L. (2003) ‘Strong and Uniform Continuity – the Uniform Space Case’, LMS Journal of Computation and Mathematics, 6, pp. 326–334. Available at: https://doi.org/10.1112/s1461157000000486.

BibTeX
@article{bridges2003strong,
  title = {{Strong and Uniform Continuity – the Uniform Space Case}},
  author = {Bridges, Douglas and Vı̂ţă, Luminiţa},
  journal = {LMS Journal of Computation and Mathematics},
  volume = {6},
  pages = {326--334},
  year = {2003},
  doi = {10.1112/s1461157000000486}
}

Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.

Related papers