Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Abstract Δ-spaces have been defined by a natural generalization of a classical notion of Δ-sets of reals to Tychonoff topological spaces; moreover, the class Δ of all Δ-spaces consists precisely of those X for which the locally convex space C p ( X ) is distinguished [25]. The aim of this article is to better understand the boundaries of the class Δ, by presenting new examples and counterexamples. (1) We examine when trees considered as topological spaces equipped with the interval topology belong to Δ. In particular, we prove that no Souslin tree is a Δ-space. Other main results are connected with the study of (2) Ψ-spaces built on maximal almost disjoint families of countable sets; and (3) Ladder system spaces. It is consistent with CH that all ladder system spaces on ω 1 are in Δ. We show that in forcing extension of ZFC obtained by adding one Cohen real, there is a ladder system space on ω 1 which is not in Δ. We resolve several open problems posed in [12], [25], [31], [32].
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it