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2501.01561
https://arxiv.org/abs/2501.01561
2025-01-02T22:35:26
math.FA
Functional Analysis
45 pages. Various improvements of the presentation, and an error in the proof of Theorem 19 is corrected
Theorem 19
CC 4.0
On coarse geometry of separable dual Banach spaces
\documentclass[12pt]{amsart} \usepackage{amsmath} \usepackage{amssymb,amsthm, lipsum} \usepackage{mathtools} \usepackage[utf8]{inputenc} \usepackage{xcolor} %%colored blockquotes \usepackage[most]{tcolorbox} \definecolor{block-gray}{gray}{0.85} \newtcolorbox{blockquote}{colback=block-gray,grow to right by=-1mm,grow ...
2,121
2501.04482
https://arxiv.org/abs/2501.04482
2025-01-08T13:06:44
math.LO
Logic
In this version, the erroneous Proposition 6.10 is corrected
Proposition 6.10
arXiv.org - Non-exclusive license to distribute
Categories of orthosets and adjointable maps
"\\documentclass[12pt,a4paper]{article}\n\\parindent0pt\\parskip1ex\n\\emergencystretch 0.2em\n\n\\u(...TRUNCATED)
1,911
2501.05996
https://arxiv.org/abs/2501.05996
2025-01-10T14:28:41
math.AT
Algebraic Topology
"43 pages, 4 figures. Corrected an error in the proof of Theorem B. Moved the section on interval de(...TRUNCATED)
Theorem B
CC BY-SA 4.0
Poset functor cocalculus and applications to topological data analysis
"\\documentclass[a4paper, reqno]{amsart}\n\\usepackage{graphicx} % Required for inserting images\n\n(...TRUNCATED)
3,481
2501.08877
https://arxiv.org/abs/2501.08877
2025-01-15T15:48:33
math.AP
Analysis of PDEs
Corrected a major error in the proof of Theorem 3.1 and revised other flawed proofs
Theorem 3.1
arXiv.org - Non-exclusive license to distribute
Connecting SPDE to SGMs
"\\documentclass[a4paper,11pt]{amsart}\n\n\\usepackage{a4wide,amsmath,amsfonts,amssymb,mathrsfs,amst(...TRUNCATED)
358
2501.08692
https://arxiv.org/abs/2501.08692
2025-01-15T09:55:08
math.GR
Group Theory
"19 pages. Fixes a mistake in the proof of Theorem 1.2, by refining the definition of balanced Artin(...TRUNCATED)
Theorem 1.2
CC 4.0
On the $\Sigma^1$ and $\Sigma^2$-invariants of Artin groups
"\\documentclass[twoside]{article}\n\n\n\\usepackage{PRIMEarxiv}\n\n\\usepackage[utf8]{inputenc} % a(...TRUNCATED)
921
2501.17504
https://arxiv.org/abs/2501.17504
2025-01-29T09:21:36
math.AC
Commutative Algebra
Removed redundant and incorrect proof of Lemma 2.3, updated introduction
Lemma 2.3
arXiv.org - Non-exclusive license to distribute
Rational Invariants of even degree polynomials under the orthogonal group
"\\documentclass{amsart}\n\n\\usepackage[english]{babel}\n\\usepackage[all]{xy}\n\\usepackage{enumit(...TRUNCATED)
454
2501.13445
https://arxiv.org/abs/2501.13445
2025-01-23T07:52:28
math.OC
Optimization and Control
We find a counterexample to illustrate that Theorem 5 (iii) and (iv) are incorrect
Theorem 5
arXiv.org - Non-exclusive license to distribute
"Comments and extensions on ``State-equivalent form and minimum-order compensator design for rectang(...TRUNCATED)
"\\documentclass{IEEEtran}\n\\usepackage{cite}\n\\usepackage{amsmath,amssymb,amsfonts}\n\\usepackage(...TRUNCATED)
850
2501.05489
https://arxiv.org/abs/2501.05489
2025-01-09T06:01:52
math.DG
Differential Geometry
I find that there is a mistake in the proof of Theorem 2.2, I give a new proof in this version
Theorem 2.2
arXiv.org - Non-exclusive license to distribute
Singularity of mean curvature flow with bounded mean curvature and Morse index
"\\documentclass[11pt]{amsart}\n\n\\usepackage{verbatim}\n\\usepackage{graphicx}\n\\usepackage{subfi(...TRUNCATED)
2,121
2501.04321
https://arxiv.org/abs/2501.04321
2025-01-08T07:35:49
math.CO
Combinatorics
"I thank Nathan Bowler for pointing out a critical mistake at the end of my claimed proof of Theorem(...TRUNCATED)
Theorem 2.1
arXiv.org - Non-exclusive license to distribute
Matroid intersection and packing/covering conjectures are true in the class of finitary matroids
"\n%-----------------------------------------------------------------------\n% Beginning of proc-l-t(...TRUNCATED)
1,243
2502.02254
https://arxiv.org/abs/2502.02254
2025-02-04T12:02:47
math.NT
Number Theory
Fixed proof of Lemma 8, other minor changes
Lemma 8
CC 4.0
Non-isomorphic abelian varieties with the same arithmetic
"\\documentclass[11pt]{amsart}\n\\usepackage{amsmath,amsfonts,amscd,amssymb}\n\\usepackage[margin=3.(...TRUNCATED)
237
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