Results 61 to 70 of about 5,189 (241)

Cores of hyperbolic 3-manifolds and limits of Kleinian groups II [PDF]

open access: yes, 1999
Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent sequence of isomorphic Kleinian groups agree if there are no new parabolics in the algebraic limit.
James W. Anderson   +3 more
core   +1 more source

Combining Spatial Multi‐Omics Data to Decipher Spatial Domains and Elucidate Cell Heterogeneity Based on Self‐Supervised Graph Learning

open access: yesAdvanced Science, EarlyView.
A self‐supervised multi‐view graph fusion framework integrates spatial multi‐omics, excelling in domain identification and denoising. It reconstructs spatial pseudo‐expression, jointly analyzes multi‐omics data, infers RNA velocity, predicts spatial omics features from single‐cell multi‐omics, and detects spatially dark genes and transcription factors,
Yuejing Lu   +8 more
wiley   +1 more source

Topological Complexity of Configuration Spaces [PDF]

open access: yes, 2010
In this thesis we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem.
COSTA, ARMINDO,EMANUEL   +1 more
core  

Covering link calculus and iterated Bing doubles

open access: yes, 2018
We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n > 1 the (n+1)-st iterated Bing double of a knot is rationally slice if and only if the n-th iterated Bing double of the knot is rationally slice. The main
Kim, T, Cha, JC
core   +1 more source

James bundles [PDF]

open access: yes, 2004
We study cubical sets without degeneracies, which we call {square}-sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particular a {square}-set C has an infinite family of associated {square}-sets Ji(
Colin Rourke   +8 more
core   +1 more source

Topology‐Aware Deep Learning on Higher‐Order Structures for Drug Response Prediction

open access: yesAdvanced Science, EarlyView.
We present TopDr, a topology‐aware deep learning framework that encodes both drugs and cell lines as multiscale simplicial complexes, capturing interactions at the 0‐, 1‐, and 2‐simplex levels. By jointly integrating local higher‐order neighborhoods and global topological structures, TopDr generates enriched representations for sensitivity prediction ...
Cong Shen   +3 more
wiley   +1 more source

COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]

open access: yes, 2013
In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
core  

How Advanced Artificial Intelligence Technologies Shape Drug–Drug and Drug–Target Interaction Modeling

open access: yesAdvanced Science, EarlyView.
This review explores the convergence of artificial intelligence technologies in modeling drug–drug and drug–target interactions. By evaluating advanced feature engineering, architectural innovations, and learning paradigms reveals shared evolutionary trends and critical challenges, such as cold‐start settings and shortcut learning.
Xin Sun, Tong Wang
wiley   +1 more source

Geometric Topology and Shape Theory

open access: yes, 1987
The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction.
Segal, Jack, Mardešić, Sibe
core   +1 more source

Bias‐Engineered Synthetic Antiferromagnets Hosting Sub‐20 nm Zero‐Field Skyrmions at Room Temperature

open access: yesAdvanced Science, EarlyView.
A fully compensated synthetic antiferromagnet (SAF) multilayer exhibits a uniform state at zero field, without skyrmions. We use a SAF bias system to provide RKKY‐mediated exchange bias to the SAF multilayer, promoting zero‐field skyrmion stabilization and polarity control.
Emily Darwin   +5 more
wiley   +1 more source

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