Whats it like being a homosexual in Libya?
Im not an ex Muslim (although have questioned a lot recently, so maybe that counts) but I am lesbian (cant find homosexual Libyans anywhere but here ?) and can’t imagine what it must be like to b...
The finite Friedman-Stanley jumps: generic dichotomies for Borel homomorphisms
Fix $n=1,2,3,\dots$ or $n=ω$. We prove a dichotomy for Borel homomorphisms from the $n$-th Friedman-Stanley jump $=^{+n}$ to an equivalence relation $E$ which is classifiable by countable structures: if there is no reduction from $=^{+n}$ to $E$, th...
Three Dimensional Lorentz homogeneous spaces and the Petrov classification
In this note, we verify the classification of local geometries given by A.Z. Petrov. First, we determine criteria for identifying a given 3D Lorentz homogeneous space in Petrov's classification. Then, we identify all inequivalent 1D subalgebras of al...
Contact homology and higher dimensional closing lemmas
We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the strong closing lemma holds for Reeb flows on ellipsoids. Our methods a...
Expressing Ethnicity through Behaviors of a Robot Character
Achieving homophily, or association based on similarity, between a human user and a robot holds a promise of improved perception and task performance. However, no previous studies that address homophily via ethnic similarity with robots exist. In thi...
Around Homology Planes: Old and new
We survey some old and new results about acyclic (affine) complex surfaces, also called homology planes. We ask several questions and leave open directions for future research....
HZ-algebra spectra are differential graded algebras
We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZ-algebra spectra. Namely, we construct Quillen equivalences between the Quillen model categories of (unbounded) differential graded algebras an...
Oscillations and irregular persistent firing patterns in a homogeneous network of excitato…
We continue the work of a series of previous studies of a mathematical model that describes the mean-field limit behavior of a homogeneous network of excitatory point spiking neurons. Contrary to other models, here noise is intrinsic to the neurons t...
The Poincare homology sphere, lens space surgeries, and some knots with tunnel number two
We exhibit an infinite family of knots in the Poincare homology sphere with tunnel number 2 that have a lens space surgery. Notably, these knots are not doubly primitive and provide counterexamples to a few conjectures. In the appendix, it is shown t...
CMV: If you "don't support" homosexuality because of your religion or otherwise, you're st…
This submission was inspired by a post I saw on TikTok (of course), of a girl saying not supporting homosexuality because of your religious beliefs doesn't make someone homophobic. All the top comment...
Graph Homomorphism Convolution
In this paper, we study the graph classification problem from the graph homomorphism perspective. We consider the homomorphisms from $F$ to $G$, where $G$ is a graph of interest (e.g. molecules or social networks) and $F$ belongs to some family of gr...
Homological stability fails for the Cremona groups
The Cremona groups are the groups of all birational equivalences of rational varieties and, equivalently, the automorphism groups of the rational function fields. In this note, we explain that homological stability fails for them in both possible way...
Infinitesimal cohomology and the Chern character to negative cyclic homology
There is a Chern character from K-theory to negative cyclic homology. We show that it preserves the decomposition coming from Adams operations, at least in characteristic 0. This is done by using infinitesimal cohomology to reduce to the case of a...
A double copy from twisted (co)homology at genus one
We study the twisted (co)homology of a family of genus-one integrals -- the so called Riemann-Wirtinger integrals. These integrals are closely related to one-loop string amplitudes in chiral splitting where one leaves the loop-momentum, modulus and a...
Breed - Wikipedia
A breed is a specific group of breedable domestic animals having homogeneous appearance (phenotype), homogeneous behavior, and/or other characteristics that distinguish it from other …
There is a maximal homogeneous family over $ω$
We tried to show in this paper that CH implies: there is a homogeneous family of subset of omega which is maximal with respect to inclusion. The paper is currently "withdrawn", since a mistake has been discovered....
On the homomorphism order of labeled posets
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. We give a representation of directed graphs by k-posets; this provides a new proof of the universality of the homomorphism order of k-posets. This univers...
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy…
This paper is an English translation of chapter nine of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jinkun Lin (in Chinese)(Sciences Press, Beijing 2007). In this paper, a sequence of new indecomposable families in t...
Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with $L^p$ initi…
We consider the homogeneous Landau equation with Coulomb potential and general initial data $f_{in} \in L^p$, where $p$ is arbitrarily close to $3/2$. We show the local-in-time existence and uniqueness of smooth solutions for such initial data. The c...
On the FI-homology of the injective cogenerators
The purpose of this paper is to give information on the FI-homology of the standard injective cogenerators of the category of FI-modules, where FI is the category of finite sets and injections. Working over a field k of characteristic zero, a full...