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A new approach to Whitehead’s asphericity question [PDF]

open access: yesJournal of Homotopy and Related Structures, 2013
We investigate Whitehead´s asphericity question from a new perspective, using results and techniques of the homotopy theory of finite topological spaces.
Elias Gabriel Minian
exaly   +2 more sources

Asymptotic hereditary asphericity of metric spaces of asymptotic dimension 1 [PDF]

open access: yesTopology and Its Applications, 2010
Asymptotic hereditary asphericity (AHA) is a coarse property introduced by Januszkiewicz and Świa̧tkowski in the context of systolic complexes and groups.
Zubik, Joanna, Joanna Zubik
exaly   +2 more sources
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On the Asphericity of Knot Complements

Canadian Journal of Mathematics, 1993
AbstractTwo examples of topological embeddings ofS2inS4are constructed. The first has the unusual property that the fundamental group of the complement is isomorphic to the integers while the second homotopy group of the complement is nontrivial. The second example is a non-locally flat embedding whose complement exhibits this property locally.Two ...
Liem, Vo Thanh, Venema, Gerard A.
openaire   +2 more sources

The aspherity of random walks

Journal of Physics A: Mathematical and General, 1986
Summary: The asphericity, (A), of a random walk is defined and calculated for non- self-avoiding walks. The definition of (A) generalizes to self-avoiding walks, percolating clusters and other fractal objects and thus provides a generalized quantitative measure of the departure from spherical symmetry of the gross shape of these objects.
Rudnick, Joseph, Gaspari, George
openaire   +1 more source

Asphericity Tests

International Journal of Algebra and Computation, 1997
In paper [5] the classical Kervaire-Laudenbach conjecture for torsion-free groups is proved. The proof is based on an amazing geometrical fact. Here we prove that this fact is a special case of a statement similar to the well-known Bogley-Pride weight test [2].
openaire   +3 more sources

Aspheric potpourri

Applied Optics, 1981
This paper pursues further applications of the geometric design procedures described previously [L. Mertz, Appl. Opt. 18, 4182 (1979)]. One novel system with a large spherical main mirror provides an almost ideal searchlight solution with numerous potential applications.
openaire   +2 more sources

Adjustable Aspheric Corrector and Inexpensive Aspherics

Workshop on Optical Fabrication and Testing, 1982
A refractive optical component L is made as a close contacted "sandwich" of two different materials with refractive indexes n1 and n2 and has flat and parallel exterior surfaces.
openaire   +1 more source

Corneal Asphericity and IOL Power Calculation in Eyes With Aspherical IOLs

Journal of Refractive Surgery, 2017
PURPOSE: Given that a previous study found that corneal asphericity influences the refractive outcome of intraocular lens (IOL) power calculation by means of thin-lens formulas in eyes with spherical IOLs, the authors aimed to verify whether such influence can also be observed in eyes with aspherical IOLs.
Giacomo, Savini   +4 more
openaire   +2 more sources

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