Mathematics catalogue
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-8951 Exact trace certificates and a regular counterexample normal form for Caccetta--Haggkvist
- Math-8952 A feedback-set bound for second neighborhoods
- Math-8953 Exact anatomy of the BCW circular construction
- Math-8954 Rainbow reachability and the multi-label core obstruction
- Math-8955 A corrected colored reduction and a Sullivan-2 counterexample normal form
- Math-8956 An arc--nonedge defect identity for Sullivan-1
- Math-8957 One-sided lifting and polarized minimal counterexamples for Sullivan-3
- Math-8958 Finite-boundary transfer for infinite second neighborhoods
- Math-8959 Local edge budgets for Thomassé's nonneighbor conjecture
- Math-8960 Frontier Hall obstructions for exact distance shells
- Math-8961 A collision budget for Eulerian second neighborhoods
- Math-8962 Cut covers and small cases of Mader's local-connectivity conjecture
- Math-8963 Local average outdegree and short directed cycles
- Math-8964 Exact feedback sets in cyclic tournament substitutions
- Math-8965 A sharp lower-bound certificate for the first open transitive tournament case
- Math-8966 Defect feedback sets and a fractional obstruction for four-order majority digraphs
- Math-8967 Sliding progression-free windows via gap words
- Math-8968 Exact quadratic-residue half-set counts and a quantitative Varnavides transfer
- Math-8969 A two-sided transfer principle for the least doubling of 3-AP-free sets
- Math-8970 Cap-set status and a sharp quadratic-graph dimension barrier
- Math-8971 An explicit local-lemma certificate and bounded high-overlap neighbourhood for van der Waerden hypergraphs
- Math-8972 A diameter-free Property B bound for arbitrary van der Waerden sets
- Math-8973 Ceiling-aware bounds and a carry-free density Hales-Jewett construction
- Math-8974 Quantitative Hales-Jewett bounds and exact binary calibration
- Math-8975 Small sumsets with no three collinear
- Math-8976 Simultaneously avoiding bounded weighted averages
- Math-8977 Square-difference sets, Paley cliques, and an exact external-defect variance identity
- Math-8978 A divisor-profile lower bound and a polynomial-height near-Sidon theorem for squares
- Math-8979 Uniform iterated-sumset growth at the first doubling threshold
- Math-8980 Compact Freiman models and relation peeling
- Math-8981 Kirby Problem 1.73
- Math-8982 Kirby Problem 1.74
- Math-8983 Kirby Problem 1.85
- Math-8984 Kirby Problem 1.88
- Math-8985 Kirby Problem 2.8
- Math-8986 Kirby Problem 2.22
- Math-8987 Kirby Problem 2.44
- Math-8988 Kirby Problem 3.42
- Math-8989 Kirby Problem 3.44
- Math-8990 Kirby Problem 3.45
- Math-8991 Kirby Problem 3.52
- Math-8992 Kirby Problem 3.64
- Math-8993 Kirby Problem 3.65
- Math-8994 Kirby Problem 3.70
- Math-8995 Kirby Problem 3.71
- Math-8996 Kirby Problem 3.72
- Math-8997 Kirby Problem 3.74
- Math-8998 Kirby Problem 3.75
- Math-8999 Kirby Problem 4.12
- Math-9000 Kirby Problem 4.16