On the definition of the small index property

2015

Closed access Metadata (CSL-JSON)
DOI 10.3103/s1055134415030050
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

For countable infinite structures, two definitions of the small index property are known. One of them contains the words “at most ω,” while the other reads “less than 2 ω .” In the present article, we explain in what sense there is no big difference between the two definitions and suggest a generalization to arbitrary infinite structures.