Results 111 to 120 of about 3,063 (228)
Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$
Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
wiley +1 more source
Block circulant graphs and the graphs of critical pairs of crowns
In this paper, we provide a natural bijection between a special family of block circulant graphs and the graphs of critical pairs of the posets known as generalized crowns.
Rebecca E. Garcia +3 more
doaj +1 more source
Is every product system concrete?
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
Combinatorial Generation Algorithms for Directed Lattice Paths
Graphs are a powerful tool for solving various mathematical problems. One such task is the representation of discrete structures. Combinatorial generation methods make it possible to obtain algorithms that can create discrete structures with specified ...
Yuriy Shablya +2 more
doaj +1 more source
The authors consider additive bijections \(H:C(X,K)\to C(Y,K)\), where \(X,Y\) are compact Hausdorff spaces, \(K=\mathbb R,\mathbb C\), or \(\mathbb Q_p\). It is assumed that \(H\) is separating, that is the equality \(fg=0\) for some \(f,g\in C(X,K)\) implies \((Hf)(Hg)=0\).
Edward Beckenstein, Lawrence Narici
openaire +3 more sources
Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
Sieve-equivalence and explicit bijections
AbstractSuppose A1,…, An are subsets of a finite set A, and B1,…, Bn are subsets of a finite set B. For each subset S of N = {1, 2,…, n}, let As = ∩iϵSAi and BS = ∩iϵSBi. It is shown that if explicit bijections fS:AS → BS for each S ⊆ N are given, an explicit bijection h:A-∪i=1Ai→B-∪i=1Bi can be constructed.
openaire +2 more sources
Explicit height estimates for CM curves of genus 2
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source

