26 Thomas Nikolaus Frobenius homomorphisms in higher algebra 44:56 Roman Mikhailov Homotopy patterns in group theory 43:16 Syu Kato The formal model of semi-infinite flag manifolds 45:16 Neena Gupta The Zariski Cancellation Problem and related problems in Affine Alge 40:01 Michael Larsen Character...
The tennis player problem is a microcosmic example of an abstract and pretty piece of mathematics. The example is bad because, although mathematicians are usually interested in things other than counting, it deals with counting; it's bad because it does not, cannot, exhibit any of the conceptua...
8 Is Homological Algebra "about" Anything? Hot Network Questions Trying to find an old book (fantasy or scifi?) in which the protagonist and their romantic partner live in opposite directions in time Should I report a review I suspect to be AI-generated? A set of five (one is missi...
But it seems that there is some non-trivial combinatorial argument to be made if one is to prove this conjecture; purely homological arguments seem to partially resolve the problem, but are not sufficient by themselves. While I was not able to resolve the square peg problem, I think these...
The problem is in the field of universal algebra, and concerns the (medium-scale) exploration of simple equational theories for magmas. A magma is nothing more than a set equipped with a binary operation . Initially, no additional axioms on this operation are imposed, and as such magmas by ...
In contrast, we observe that, if we require that it be invariant under homological equivalence of differential coalgebras, there is no natural modeling of the comultiplication in the loop space. But, in rational homotopy theory, results of Milnor–Moore and Quillen show that there is a ...
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extending the algebra sheaf of smooth functions to a distribution-like algebra sheaf in which the former may be embedded, satisfying the pertinent cohomological conditions required for the coordinatization of all of the tensorial physical quantities, such that the form of the field equations is ...