English

Total Representations

Logic in Computer Science 2015-07-01 v2 Logic

Abstract

Almost all representations considered in computable analysis are partial. We provide arguments in favor of total representations (by elements of the Baire space). Total representations make the well known analogy between numberings and representations closer, unify some terminology, simplify some technical details, suggest interesting open questions and new invariants of topological spaces relevant to computable analysis.

Keywords

Cite

@article{arxiv.1304.1239,
  title  = {Total Representations},
  author = {Victor Selivanov},
  journal= {arXiv preprint arXiv:1304.1239},
  year   = {2015}
}

Comments

30 pages

R2 v1 2026-06-21T23:53:38.145Z