Collapse-invariant properties of spaces equipped with signals or directions

Hopf algebras and Hopf-Galois extensions in infinity-categories

From Trees to Barcodes and Back Again: A Combinatorial, Probabilistic and Geometric Study of a Topological Inverse Problem

Quasi-categories vs. Segal spaces: Cartesian edition

N. Rasekh 

Filter quotients and non-presentable (∞,1)-toposes

N. Rasekh 

Realizing doubles: a conjugation zoo

W. Pitsch; J. Scherer 

Conjugation spaces are cohomologically pure

W. Pitsch; N. Ricka; J. Scherer 

The cotangent complex and Thom spectra

N. Rasekh; B. Stonek 

Algebraic Homotopy Interleaving Distance

N. Berkouk 

Every Elementary Higher Topos Has A Natural Number Object

N. Rasekh 

Homotopical relations between 2-dimensional categories and their infinity-analogues

Synthesis of branching morphologies

L. Kanari; K. P. Bellwald; H. Markram 

giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration

G. Tauzin; U. Lupo; L. Tunstall; J. B. Perez; M. Caorsi et al. 

Topology predicts long-term functional outcome in early psychosis

M. Fournier; M. Scolamiero; M. M. Gholam-Rezaee; M. Cleusix; R. Jenni et al. 

From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives

L. Kanari; A. Garin; K. Hess Bellwald 

An effective proof of the Cartan formula: The even prime

A. M. Medina-Mardones 

Twisting structures and morphisms up to strong homotopy

K. Hess; P-E. Parent; J. Scott 

Characteristic classes as complete obstructions

M. Rovelli 

Topological classification of retinal microglia during development

G. Colombo; A. Venturino; R. Schulz; L. Kanari; K. Hess et al. 

Unique decomposition of homogeneous languages and application to isothetic regions

E. Haucourt; N. Ninin 

Configuration Spaces Of Products

W. Dwyer; K. Hess; B. Knudsen 

Injective And Projective Model Structures On Enriched Diagram Categories

L. Moser 

The Homotopy Theory Of Coalgebras Over Simplicial Comonads

K. Hess; M. Kedziorek 

Generating and identifying functional subnetworks within structural networks

M. W. Reimann; M. C. Nolte; H. Markram; K. P. Hess Bellwald; R. Levi 

Relative Homological Algebra Via Truncations

W. Chacholski; A. Neeman; W. Pitsch; J. Scherer 

Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model

G. Spreemann; B. Dunn; M. Botnan; N. Baas 

Homotopical Morita theory for corings

A. Berglund; K. Hess 

Homotopic Hopf-Galois extensions revisited

A. Berglund; K. Hess 

A torus theorem for homotopy nilpotent loop spaces

C. Costoya; J. Scherer; A. Viruel 

A Topological Representation of Branching Neuronal Morphologies

L. Kanari; P. Dlotko; M. Scolamiero; R. Levi; J. Shillcock et al. 

Multidimensional Persistence and Noise

M. Scolamiero; W. Chacholski; A. Lundman; R. Ramanujam; S. Oberg 

Towards an (∞,2)-category of homotopy coherent monads in an ∞-cosmos

On chirality of toroidal embeddings of polyhedral graphs

S. Barthel 

Rational SO(2)- equivariant spectra

D. Barnes; J. P. C. Greenlees; M. Kedziorek; B. Shipley 

A necessary and sufficient condition for induced model structures

K. Hess; M. Kedziorek; E. Riehl; B. Shipley 

Toda frames, harmonic maps and extended Dynkin diagrams

E. Carberry; K. Turner 

Cliques of Neurons Bound into Cavities Provide a Missing Link between Structure and Function

M. W. Reimann; M. Nolte; M. Scolamiero; K. Turner; R. Perin et al. 

Topological Analyses Of Metabolomic Data To Identify Markers Of Early Psychosis And Disease Biotypes

M. Fournier; M. Scolamiero; M. Gholam-Rezaee; H. Moser; C. Ferrari et al. 

Localization Genus

J. M. Moller; J. Scherer 

A Looping-Delooping Adjunction For Topological Spaces

M. Rovelli 

Combinatorial presentation of multidimensional persistent homology

W. Chacholski; M. Scolamiero; F. Vaccarino 

Towards new invariants for principal bundles

Homotopy Excision And Cellularity

W. Chacholski; J. Scherer; K. Werndli 

Principal component component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

V. Robins; K. Turner 

Cellular Homotopy Excision

Waldhausen K-theory of spaces via comodules

K. Hess; B. Shipley 

The Hochschild complex of a twisting cochain

K. Hess 

Exponentiable Approach Spaces

D. Hofmann; G. J. Seal 

Cellular properties of nilpotent spaces

W. Chacholski; E. D. Farjoun; R. Flores; J. Scherer 

Progesterone and Overlooked Endocrine Pathways in Breast Cancer Pathogenesis

C. Brisken; K. Hess Bellwald; R. Jeitziner 

Exponential Kleisli Monoids as Eilenberg-Moore Algebras

D. Hofmann; F. Mynard; G. J. Seal 

Conditionally flat functors on spaces and groups

E. D. Farjoun; J. Scherer 

Goodwillie calculus and Whitehead products

B. Chorny; J. Scherer 

Kan spectra, group spectra and twisting structures

Left-induced model structures and diagram categories

M. Bayeh; K. Hess; V. Karpova; M. Kedziorek; E. Riehl et al. 

Nilpotent -local finite groups

J. Cantarero; J. Scherer; A. Viruel 

Homotopic Hopf-Galois extensions of commutative differential graded algebras

The Boardman-Vogt tensor product of operadic bimodules

The homotopy theory of coalgebras over a comonad

K. Hess; B. Shipley 

Tensors, Monads And Actions

G. J. Seal 

Topological Complexity Of H-Spaces

G. Lupton; J. Scherer 

Conjugation spaces and equivariant Chern classes

W. Pitsch; J. Scherer 

The Chu Construction For Complete Atomistic Coatomistic Lattices

B. Ischi; G. J. Seal 

Homotopy completion and topological Quillen homology of structured ring spectra

J. E. Harper; K. Hess 

Brace Bar-Cobar Duality

J. R. Young 

Spaces With Noetherian Cohomology

K. K. S. Andersen; N. Castellana; V. Franjou; A. Jeanneret; J. Scherer 

Parametrized K-theory

N. Michel 

Complete intersections in rational homotopy theory

J. P. C. Greenlees; K. Hess; S. Shamir 

Normal and conormal maps in homotopy theory

E. D. Farjoun; K. Hess 

Multiplicative structure in equivariant cohomology

K. Hess 

Long knots and maps between operads

W. Dwyer; K. Hess 

Noetherian loop spaces

N. Castellana; J. A. Crespo; J. Scherer 

A counter-example to a conjecture of Felix

F. Simoncini 

Homotopic Descent over Monoidal Model Categories

Order-adjoint monads and injective objects

G. J. Seal 

Bar constructions and Quillen homology of modules over operads

J. E. Harper 

Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories

J. E. Harper 

Catégories simpliciales enrichies et K-théorie de Waldhausen

Categorical Foundations for K-theory

Twisting structures and strongly homotopy morphisms

K. Hess; J. Scott 

A general framework for homotopic descent and codescent

K. Hess 

The loop group and the cobar construction

K. Hess; A. Tonks 

Homotopy theory of modules over operads in symmetric spectra

J. E. Harper 

Coalgèbres d’Alexander-Whitney

Homotopic Hopf-Galois extensions: foundations and examples

K. Hess 

CoHochschild homology of chain coalgebras

K. Hess; P-E. Parent; J. A. Scott 

The link between the infinite mapping class group of the disk and the braid group on infinitely many strands

Rational homotopy theory: a brief introduction

K. Hess 

A model structure à la Thomason on 2 – CAT

K. Hess; P-E. Parent; A. Tonks; K. Worytkiewicz 

A chain coalgebra model for the James map

K. Hess; P-E. Parent; J. Scott 

An algebraic model for the loop space homology of a homotopy fiber

K. Hess; R. Levi 

Towards a general theory of homotopic Hopf-Galois extensions

C. Bujard 

An alpine anthology of homotopy theory. Proceedings of the 2nd Arolla conference on algebraic topology, Arolla, Switzerland, August 24-29, 2004. (English)

An algebraic model for mod 2 topological cyclic homology

String Topology and Cyclic Homology

R. L. Cohen; K. Hess; A. A. Voronov 

A canonical enriched Adams-Hilton model for simplicial sets

K. Hess; P-E. Parent; J. Scott; A. Tonks 

Simulations as homotopies

K. Hess; P-E. Parent; A. Tonks; K. Worytkiewicz 

Modèles tordus d’espaces de lacets libres et fonctionnels

Commutative free loop space models at large primes

N. Dupont; K. Hess 

Using the Topological Characterization of Synchronous Models

S. Blanc; R. Guerraoui; K. Hess; P. Kouznetsov; P-E. Parent et al.