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The author describes the moduli space of Sullivan models of 2-skeletal spaces and complements of links as quotients of spaces of derivations of finitely generated free Lie algebras $L$ by the action of a subgroup of automorphisms of $L$ . For recall, a 2-skeletal space is a path connected space $S$ satisfying $H^{\geq 3} (S; ℚ) = 0$ and $dim H^{*} (S, ℚ) < \infty$ . The paper contains as an application a complete description of the Lie algebras associated to the fundamental groups of complements of two-component links in terms of their Milnor numbers....

Four generalizations of stratifiable spaces

Borges, C. R. (1972)

General Topology and its Relations to Modern Analysis and Algebra

Fredholm points of compactly perturbed bounded linear operators

Marek, I. (1977)

General topology and its relations to modern analysis and algebra IV

Free loop spaces and cyclohedra

Markl, Martin (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

It is well-known that a based space is of the weak homotopy type of a loop space iff it is a grouplike algebra over an $A_{\infty}$ -operad. The classical model for such an operad consists of Stasheff’s associahedra. The present paper describes a similar recognition principle for free loop spaces. Let $𝒫$ be an operad, $M$ a $𝒫$ -module and $U$ a $𝒫$ -algebra. An $M$ -trace over $U$ consists of a space $V$ and a module homomorphism $T : M \to {End}_{U, V}$ over the operad homomorphism $𝒫 \to {End}_{U}$ given by the algebra structure on $U$ . Let $𝒞_{1}$ be the little 1-cubes...

Free vibrations for the equation $u_{t t} - u_{x x} + f (u) = 0$ with $f$ sublinear

Lovicar, Vladimír (1982)

Equadiff 5

From astrology to topology via Feynman diagrams and Lie algebras

Bar-Natan, Dror (2000)

Proceedings of the 19th Winter School "Geometry and Physics"

Summary of the three lectures. These notes are available electronically at http://www.ma.huji.ac.il/~drorbn/Talks/Srni-9901/notes.html.

From binary cube triangulations to acute binary simplices

Brandts, Jan, van den Hooff, Jelle, Kuiper, Carlo, Steenkamp, Rik (2012)

Applications of Mathematics 2012

Cottle’s proof that the minimal number of $0 / 1$ -simplices needed to triangulate the unit $4$ -cube equals $16$ uses a modest amount of computer generated results. In this paper we remove the need for computer aid, using some lemmas that may be useful also in a broader context. One of the $0 / 1$ -simplices involved, the so-called antipodal simplex, has acute dihedral angles. We continue with the study of such acute binary simplices and point out their possible relation to the Hadamard determinant problem.

From Pixels and Minds to the Mathematical Knowledge in a Digital Library

Sojka, Petr, Rákosník, Jiří (2008)

Towards Digital Mathematics Library. Birmingham, United Kingdom, July 27th, 2008

Experience in setting up a workflow from scanned images of mathematical papers into a fully fledged mathematical library is described on the example of the project Czech Digital Mathematics Library DML-CZ. An overview of the whole process is given, with description of all main production steps. DML-CZ has recently been launched to public with more than 100,000 digitized pages.

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