Results 11 to 20 of about 224,966 (246)

Mathematical Models of Abstract Systems: Knowing abstract geometric forms [PDF]

, 2013
Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they ...
Marquis, Jean-Pierre
core   +3 more sources

The T-algebra spectral sequence: Comparisons and applications [PDF]

, 2014
In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra.
Noel, Justin
core   +1 more source

An Inquiry into the Practice of Proving in Low-Dimensional Topology [PDF]

, 2015
The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role.
A. Fomenko, B. Larvor, B. Morin, C.C. Adams, D. Kirsh, D. Rolfsen, H. Cruz De, H. Poincaré, J.R. Brown, J.W. Alexander, K. Manders, M. Colyan, M. Giaquinto, S-J. Shin, S. Toffoli De, V.F.R. Jones, W. Thurston, W.S. Massey   +17 more
core   +1 more source

Dyer-Lashof-Cohen operations in Hochschild cohomology [PDF]

, 2005
We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra ...
Tourtchine, Victor
core   +4 more sources

Mathematical modeling and topological graph description of dominating David derived networks based on edge partitions

Scientific Reports, 2023
Chemical graph theory is a well-established discipline within chemistry that employs discrete mathematics to represent the physical and biological characteristics of chemical substances.
Shahid Zaman, W. Ahmed, Atash Sakeena, K. Rasool, M. A. Ashebo   +4 more
semanticscholar   +1 more source

The Gromov width of complex Grassmannians [PDF]

, 2005
We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran, Delzant, Koszul, McDuff, Siebert, Susan Tolman, Traynor, Yael Karshon   +7 more
core   +3 more sources

Surface Bundles in Topology, Algebraic Geometry, and Group Theory

, 2020
Surface Bundles A surface is one of the most basic objects in topology, but themathematics of surfaces spills out far beyond its source, penetrating deeply into fields as diverse as algebraic geometry, complex analysis, dynamics, hyperbolic geometry ...
Nick Salter, Bena Tshishiku
semanticscholar   +1 more source

A mapping theorem for topological complexity [PDF]

, 2015
Peer reviewedPublisher ...
Grant, Mark, Lupton, Gregory, Oprea, John   +2 more
core   +3 more sources

TOPOLOGY ON COHOMOLOGY OF LOCAL FIELDS [PDF]

Forum of Mathematics, Sigma, 2014
Arithmetic duality theorems over a local field $k$ are delicate to prove if $\text{char}\,k>0$. In this case, the proofs often exploit topologies carried by the cohomology groups $H^{n}(k,G)$ for commutative finite type $k$-group schemes $G$. These ‘Čech
Kęstutis Česnavičius
semanticscholar   +1 more source

The nonmultiplicativity of the signature modulo 8 of a fibre bundle is an Arf–Kervaire invariant [PDF]

, 2017
It was proved by Chern, Hirzebruch and Serre that the signature of a fibre bundle is multiplicative if the fundamental group of the base acts trivially on the cohomology ring of the fibre with real coefficients, in which case the signature of the total ...
Rovi, C.
core   +3 more sources