Results 121 to 130 of about 11,002 (236)

Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley   +1 more source

Undecidability of polynomial inequalities in weighted graph homomorphism densities

Forum of Mathematics, Sigma
Many problems and conjectures in extremal combinatorics concern polynomial inequalities between homomorphism densities of graphs where we allow edges to have real weights.
Grigoriy Blekherman, Annie Raymond, Fan Wei   +2 more
doaj   +1 more source

Simple groups and complements of smooth surfaces in simply connected 4‐manifolds

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For each integer n$n$ we construct an oriented closed simply connected 4‐manifold X$X$ admitting a smoothly embedded closed connected surface Σ$\Sigma$ of self‐intersection number n$n$ such that the complement of the surface has non‐trivial fundamental group. This answers a question of Kronheimer in Kirby's 1997 problem list.
Sam Hughes, Daniel Ruberman
wiley   +1 more source

The Third Homomorphism Theorem

, 1995
The Third Homomorphism Theorem is a folk theorem of the constructive algorithmics community. It states that a function on lists that can be computed both from left to right and from right to left is necessarily a list homomorphism – it can be computed ...
Gibbons, J
core  

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

BCI-homomorphisms [PDF]

Formalized Mathematics, 2008
Yuzhong Ding, Fuguo Ge, Chenglong Wu
openaire   +2 more sources

THE PROBLEM OF NEW PROPERTIES OF NUMBERS

Надежность и качество сложных систем
Background. The proposed work is devoted to research to clarify the axiomatization of arithmetic in connection with the presence of special assumptions in it.
L.G. Sushkov
doaj   +1 more source

HOMOMORPHISM IN ROUGH LATTICE

Journal of New Theory, 2015
− In this paper, we introduce the concept of set-valued homomorphism of a lattice which isthe generalization of ordinary lattice homomorphism. We construct generalized rough lower and upperapproximations operators, by means of a set-valued mapping, which
Dipankar Rana, Sankar Kumar Roy
doaj  

The homomorphism domination exponent

, 2010
We initiate a study of the homomorphism domination exponent of a pair of graphs F and G, defined as the maximum real number c such that |Hom(F, T) |> |Hom(G,T)|c for every graph T.
Benjamin Rossman, et al.
core  

Free Algebras of Full Terms Generated by Order-Preserving Transformations

Mathematics
Full terms, which serve as tools for classifying algebras into subclasses, can be studied using an algebraic approach. For a natural number n, this paper introduces the algebra of order-preserving full terms under the (n+1)-superposition operation ...
Khwancheewa Wattanatripop, Thodsaporn Kumduang   +1 more
doaj   +1 more source