Results 51 to 60 of about 235,705 (108)

On topological complexity of hyperbolic groups [PDF]

arXiv, 2019
We show that the topological complexity of a finitely generated torsion free hyperbolic group $\pi$ with $\cd\pi=n$ equals $2n$.
arxiv  

Linking topological spheres [PDF]

arXiv, 2019
There is a topological embedding $\iota:\mathbb{S}^1\to\mathbb{R}^5$ such that $\pi_3(\mathbb{R}^5\setminus\iota(\mathbb{S}^1))=0$. Therefore, no $3$-sphere can be linked with $\iota(\mathbb{S}^1)$.
arxiv  

Complexity of 3-manifolds

, 2004
We give a summary of known results on Matveev's complexity of compact 3-manifolds. The only relevant new result is the classification of all closed orientable irreducible 3-manifolds of complexity 10.Comment: 26 pages, 7 figures, minor ...
Martelli, Bruno
core   +2 more sources

Involutions of spherical 3-manifolds [PDF]

arXiv
We classify involutions acting on spherical 3-manifolds up to conjugacy. Our geometric approach provides insights into numerous topological properties of these involutions.
arxiv  

Topology optimization with discrete geometric components made of composite materials

, 2021
Hollis Smith, J. Norato
semanticscholar   +1 more source

Triviality of the Odd-Degree Part of the Space of Three-Loop Finite-Type Invariants [PDF]

arXiv, 2005
Withdrawn by the author in favour of math.GT ...
arxiv  

Barriers to Topologically Minimal Surfaces [PDF]

arXiv, 2009
In earlier work we introduced topologically minimal surfaces as the analogue of geometrically minimal surfaces. Here we strengthen the analogy by showing that complicated amalgamations act as barriers to low genus, topologically minimal surfaces.
arxiv  

On topological complexity of twisted products [PDF]

arXiv, 2013
We provide an upper bound on the topological complexity of twisted products. We use it to give an estimate $$TC(X)\le TC(\pi_1(X))+\dim X$$ of the topological complexity of a space in terms of its dimension and the complexity of its fundamental group.
arxiv  

Topology optimization of compliant mechanisms considering stress constraints, manufacturing uncertainty and geometric nonlinearity

Computer Methods in Applied Mechanics and Engineering, 2020
G. Silva, A. Beck, O. Sigmund
semanticscholar   +1 more source

Remarks on Fixed Point Assertions in Digital Topology, 9 [PDF]

arXiv
We continue a discussion of published assertions that are incorrect, incorrectly proven, or trivial, in the theory of fixed points in digital topology.
arxiv