A generic threshold phenomenon in weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math>

We study threshold phenomena in weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -spaces. Our main result is a summable Baire category version of Körner’s topological Ivashev-Musatov Theorem, which we show is optimal in several respects.

Authors

Institutions

Publication Details

Journal
Comptes Rendus Mathématique
Published
2026-01-30
DOI
https://doi.org/10.5802/crmath.775
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A generic threshold phenomenon in weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math>

Adem Limani
Comptes Rendus Mathématique
Advanced Banach Space Theory
article

A generic threshold phenomenon in weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math>

Adem Limani
article en

Abstract

We study threshold phenomena in weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -spaces. Our main result is a summable Baire category version of Körner’s topological Ivashev-Musatov Theorem, which we show is optimal in several respects.

Comptes Rendus MathématiqueVol. 364(G1)
Statistics Sweden (SE), Lund University (SE)
Openalex Percentile: Top 65%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A generic threshold phenomenon in weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℓ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> — Adem Limani · Comptes Rendus Mathématique (2026) | TGRS Research Map | TGRS