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Quadric Complexes
Quadric complexes are square complexes satisfying a certain combinatorial nonpositive curvature condition. These complexes generalize 2-dimensional CAT(0) cube complexes and are a square analog of systolic complexes. We introduce and study the basic...
Interpolymer complexes - Wikipedia
types of these complexes: Interpolyelectrolyte complexes (IPEC) or polyelectrolyte complexes (PEC) Hydrogen-bonded interpolymer complexes Stereocomplexes
From flag complexes to banner complexes
A notion of an $i$-banner simplicial complex is introduced. For various values of $i$, these complexes interpolate between the class of flag complexes and the class of all simplicial complexes. Examples of simplicial spheres of an arbitrary dimension...
Complexes of stars and complexes of star clusters
Most star complexes are in fact complexes of stars, clusters and gas clouds; term "star complexes" was introduced as general one disregarding the preferential content of a complex. Generally the high rate of star formation in a complex is accompani...
The Auslander-Reiten quiver of perfect complexes for a self-injective algebra
We consider the homotopy category of perfect complexes for a finite dimensional self-injective algebra over a field, identifying many aspects of perfect complexes according to their position in the Auslander-Reiten quiver. Short complexes lie close t...
On the Hopf algebra of multi-complexes
We introduce a general class of combinatorial objects, which we call \emph{multi-complexes}, which simultaneously generalizes graphs, multigraphs, hypergraphs and simplicial and delta complexes. We introduce a natural algebra of multi-complexes which...
complexe - Wiktionary, the free dictionary
Adjective complexe (comparative plus complexe, superlative le plus complexe) complex, complicated
Spectral Excision and Descent for Almost Perfect Complexes
We show that almost perfect complexes of commutative ring spectra satisfy excision and $v$-descent. These results generalize Milnor excision for perfect complexes of ordinary commutative rings and $v$-descent for almost perfect complexes of locally n...
Bisimplicial complexes and asphericity
We present a discrete Morse-theoretic method for proving that a regular CW complex is homeomorphic to a sphere. We use this method to define bisimplices, the cells of a class of regular CW complexes we call bisimplicial complexes. The 1-skeleta of bi...
Multiple synchronization transitions in simplicial complexes on multilayer networks
The presence of higher-order interactions (simplicial complexes) in networks and certain types of multilayer networks has shown to lead to the abrupt first-order transition to synchronization. We discover that simplicial complexes on multilayer netwo...
Finite reconstruction with selective Rips complexes
Selective Rips complexes corresponding to a sequence of parameters are a generalization of Vietoris-Rips complexes utilizing the idea of thin simplices. We prove that if a metric space $Y$ is close (in Gromov-Hausdorff distance) to a closed Riemannia...
Transition metal complexes of thiocyanate - Wikipedia
Transition metal complexes of thiocyanate describes coordination complexes containing one or more thiocyanate (SCN−) ligands. The topic also includes
Coordination complex - Wikipedia
atom are common. These complexes are called chelate complexes; the formation of such complexes is called chelation, complexation, and coordination. The
Tate-Vogel and relative cohomologies of complexes with respect to cotorsion pairs
We study Tate-Vogel and relative cohomologies of complexes by applying the model structure induced by a complete hereditary cotorsion pair ($\A$, $\B$) of modules. We show first that the class of complexes admitting a complete $\A$ resolution is exac...
Inverse monoids and immersions of $Δ$-complexes
An immersion $f : {\mathcal D} \rightarrow \mathcal C$ between $Δ$-complexes is a $Δ$-map that induces injections from star sets of $\mathcal D$ to star sets of $\mathcal C$. We study immersions between finite-dimensional connected $Δ$-complexes b...
Chain complex - Wikipedia
between chain and cochain complexes is that, in chain complexes, the differentials decrease dimension, whereas in cochain complexes they increase dimension
Persistence stability for geometric complexes
In this paper we study the properties of the homology of different geometric filtered complexes (such as Vietoris-Rips, Cech and witness complexes) built on top of precompact spaces. Using recent developments in the theory of topological persistence...
Kettlebell Complexes and Programs
To the people out there posting complexes, do you guys just do different complexes every day/other day, or are you doing other weightlifting and/or calisthenics on other days? ...
Distributional Finite Element curl div Complexes and Application to Quad Curl Problems
The paper addresses the challenge of constructing finite element curl div complexes in three dimensions. Tangential-normal continuity is introduced in order to develop distributional finite element curl div complexes. The spaces constructed are appli...