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-13351 Question 3 — What can be said about the dimensions of Dλ?
- Math-13352 Question 4 — How much of this paper can be generalized to the Birman-Wenzl-Murakami algebra?
- Math-13353 Question 7 — What extra relations should be added to Zn to make it finite-dimensional?
- Math-13354 Question 8 — How much of this paper can be generalized to Zn?
- Math-13355 Question 1.2 — Develop a metric theory of Outer space.
- Math-13356 Question 1.3 — Describe the geometry of the axis bundle (and associated objects) for an iwip acting on Outer Space.
- Math-13357 Question 3.3 — Is there a theory of random walks on Outer space similar to that of Kaimanovich and Masur for Teichm¨ uller space?
- Math-13358 Question 4.1 — Can one detect the growth of a surface or free-group homomorphism by its action on the homology of a characteristic s…
- Math-13359 Question 6.1 — Is there a set of simple Steinberg-type relations for the mapping class group?
- Math-13360 Problem 3.4 — Prove that all the secondary classes d2,d 3,··· are non-trivial.
- Math-13361 Conjecture 4.2 — The classes µi are non-trivial for all i = 1, 2,···.
- Math-13362 Problem 4.8 — Define unstable (co)homology classes of GL(n, Z).
- Math-13363 Conjecture 6.1 — The classes e1,t 3,t 5,··· are all non-trivial.
- Math-13364 Problem 7.2 — Find explicit graphs Γ∈G odd such that the corresponding homology classes Φ(Γ) are non-trivial.
- Math-13365 Problem 8.1 — Determine the image as well as the cokernel of the homomorphism (15) explic- itly.
- Math-13366 Problem 11.2 — Study the central extension (20) from the point of view of group cohomology as well as geometric topology.
- Math-13367 Conjecture 11.3 — 1.
- Math-13368 Problem 12.1 — Prove that the above characteristic classes induce surjective homomorphism H3(BDiffδ +Σg; Z)−→R2 for any g.
- Math-13369 Question — Which properties of the braid groups can be extended to the mapping class groups?
- Math-13370 Major problems 1 — The biggest problem, in my opinion, is to come up with a specific vision of where homotopy theory shou…
- Math-13371 Major problems 8 — Say something general about the stable or unstable homotopy groups of spheres.
- Math-13372 Applications 2 — Neil Strickland points out that several different moduli spaces are used in differential geometry and…
- Math-13373 Applications 3 — Investigate Voevodsky's stable homotopy category of schemes from a homotopy theorist's point of view.
- Math-13374 Axiomatic stable homotopy 5 — John Palmieri has determined the E_2 term of the Adams spectral sequence up to nilpotence--at least he…
- Math-13375 Model categories 2 — A scheme is a generalization of a ring, in the same way that a manfold is a generalization of R^n.
- Math-13376 Model categories 12 — In the appendix to my book on model categories, I said maybe what we are doing in associating to a mod…
- Math-13377 Unstable homotopy theory 2 — Determine the v_1 -exponents for the spheres.
- Math-13378 The Lyapin's Notebook — Problem 1
- Math-13379 The Lyapin's Notebook — Problem 5
- Math-13380 The Lyapin's Notebook — Problem 6
- Math-13381 The Lyapin's Notebook — Problem 10
- Math-13382 The Lyapin's Notebook — Problem 14
- Math-13383 The Lyapin's Notebook — Problem 15
- Math-13384 The Lyapin's Notebook — Problem 16
- Math-13385 The Lyapin's Notebook — Problem 17
- Math-13386 The Lyapin's Notebook — Problem 19
- Math-13387 The Lyapin's Notebook — Problem 23
- Math-13388 The Lyapin's Notebook — Problem 25
- Math-13389 The Lyapin's Notebook — Problem 27
- Math-13390 The Lyapin's Notebook — Problem 28
- Math-13391 The Lyapin's Notebook — Problem 29
- Math-13392 The Lyapin's Notebook — Problem 30
- Math-13393 The Lyapin's Notebook — Problem 31
- Math-13394 The Lyapin's Notebook — Problem 33
- Math-13395 The Lyapin's Notebook — Problem 39
- Math-13396 The Lyapin's Notebook — Problem 40
- Math-13397 The Lyapin's Notebook — Problem 41
- Math-13398 The Lyapin's Notebook — Problem 42
- Math-13399 The Lyapin's Notebook — Problem 43
- Math-13400 The Lyapin's Notebook — Problem 44