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Corrigendum for Hans Corrigendum

Laurence Boxer

TL;DR

The paper critically examines the reliability of HanCorrig, identifying mathematical errors and misattributions in the treatment of digital coverings. Through counterexamples and literature comparison, it shows that several claims either fail or collapse to existing covering-map concepts, challenging the claimed novelty of pseudo-coverings. It also highlights ethical concerns regarding attribution and citation practices in the cited works. Overall, the work clarifies the relationship between pseudo-covering maps and traditional digital coverings in digital topology and advocates for rigorous verification and proper scholarly attribution.

Abstract

S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked by errors in its mathematics, as well as improprieties in its citations. We address these flaws in the current work.

Corrigendum for Hans Corrigendum

TL;DR

The paper critically examines the reliability of HanCorrig, identifying mathematical errors and misattributions in the treatment of digital coverings. Through counterexamples and literature comparison, it shows that several claims either fail or collapse to existing covering-map concepts, challenging the claimed novelty of pseudo-coverings. It also highlights ethical concerns regarding attribution and citation practices in the cited works. Overall, the work clarifies the relationship between pseudo-covering maps and traditional digital coverings in digital topology and advocates for rigorous verification and proper scholarly attribution.

Abstract

S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked by errors in its mathematics, as well as improprieties in its citations. We address these flaws in the current work.
Paper Structure (8 sections, 7 theorems, 5 equations)

This paper contains 8 sections, 7 theorems, 5 equations.

Key Result

Theorem 2.2

RosenfeldBoxer99 A function $f:X\to Y$ is continuous if and only if $x \leftrightarrow x'$ in $X$ implies $f(x) \leftrightarroweq f(x')$.

Theorems & Definitions (17)

  • Definition 2.1
  • Theorem 2.2
  • Definition 2.3
  • Definition 2.4
  • Definition 2.5
  • Proposition 2.6
  • Theorem 2.7
  • Definition 2.8
  • Definition 3.1
  • Theorem 3.2
  • ...and 7 more