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96 публикаций

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Irremediably singular quantum branched covers
$E$-theory of $X$-$C^{*}$-algebras and functor formalisms
On The Morse Ensemble Polynomial Of Simplicial Complexes
Flux Quantization of Type IIA in Unstable K-Theory
Polynomial $2$-monads and delooping
Affine models for Noetherian schemes
Obstructed subhomogeneous-bundle extensions and embeddings
Algebraic Topology
Cohomology Operations and Homology Cooperations
The discrete homotopy hypothesis for directed graphs
The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings
The fundamental weighted category of a weighted space: From directed to weighted algebraic topology
On the Adams 𝐸₂-term for elliptic cohomology
An extension of fractal Euler number via persistent homology
Empirical Hodge Laplacians, Cohomology Ring, and Manifold Learning
The inflation functor in pluripotential homological algebra
On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
Quasimonophobic graphs and degree spectral sequences in discrete cubical homology
Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations
Spectra of bi-incomplete Tambara functors
Straight-line trajectories on the Mucube
Homotopy exponents of polyhedral products
Homology and Cohomology
Homology and Cohomology Theories
Obstructions for Associativity in Stable Homotopy Theory
Quillen-McCord theorem for persistence finite posets
Weil-Moore anima
Singular multivalued homology
Combinatorial Models for Linear Homotopy Theories
Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes
TopoFisher: Learning Topological Summary Statistics by Maximizing Fisher Information
Shape theory for condensed anima
Cohomology
Vector Bundles and K-Theory
Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry
Tverberg cores and Kalai's cascade conjecture
The Coefficients of the $C_p$-Equivariant Geometric Complex Cobordism
Gaussian Sheaf Neural Networks
Homotopy Non-Invariance of the String Cobracket and the Failure of the Lie Bialgebra Structure
The Galois theory of $G$-spectra and the Burnside ring
On Galois categories and condensed contractible schemes
Surgery on manifold operads
$E$-theory of $X$-$C^{*}$-algebras and functor formalisms
Tensor triangular geometry -- Notes for an Oberwolfach Seminar
Homology and Cohomology of Small Categories
Homology II: Cohomology to Ranking Problems
Power set operads
Accessibility and Gorenstein injective envelopes
Equivariant CW-complexes homotopy equivalent to spheres: a survey
Geometry-Aware Simplicial Message Passing
On Weakly Contractible Non-Contractible Finite Topological Spaces of Ten Points
No Triangulation Without Representation: Generalization in Topological Deep Learning
A projective resolution of the symplectic Steinberg module
Mayer Path Homology
Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces
Derived sheaves in locally conformally symplectic geometry
Weak and Strong Fibrations of Functors
Homotopy groups and twisted homology of arrangements
Topological Hochschild homology and the de Rham-Witt complex for ℤ_{(𝕡)}-algebras
Weights of circle actions on oriented manifolds with isolated fixed points
Homotopy coherent Gysin functoriality
Geometric Categories and Sheaves on Topoi
From Diaz's Enriques Product to an $n$-Fold Cup-Product Bockstein Family of Integral Hodge Counterexamples
Calculation of the Cobordism Groups
Oriented cohomology theories of algebraic varieties II
TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection
Purity of quaternionic conjugation spaces
Highly connected non-formal Milnor fibers via polyhedral products
Higher-order Persistence Diagrams
An algebraic model for the loop space homology of a homotopy fiber
Rational 𝑆𝑂(3)-equivariant cohomology theories
Chain complexes, homology, and cohomology
Sophisticated Relations between Homotopy and Homology
The Various Homology and Cohomology Theories
Singular Homology and Cohomology
Some Facts from General Topology
Properties of the Homotopy Groups
Products
Alexander and Alexander–Lefschetz Duality
Presheaves and Sheaves; Basics
Čech Cohomology with Values in a Presheaf
Homotopy Properties of CW-Complexes
The Zero Slice of Quaternionic Real Bordism
Moment-angle manifolds associated to neighbourly triangulations of spheres
Persistent Homology of Time Series through Complex Networks
An Orlov theorem for matrix factorizations with multiple factors
Euclidean distance degree defect of singular projective varieties
Non-vanishing of homotopy groups of Manin--Schechtman arrangements
ToMAToMP: Robust and Multi-Parameter Topological Clustering
Sphericalization and the Universal Spherical Adjunction
A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification
Minimal generating sets of transfer systems for more non-Abelian Groups
Higher Smooth Surgery Structure Sets of Complex Projective Spaces, Part I
Integral Homology and Poincaré Polynomials of classical and exceptional Real Flag Manifolds
Homotopy Invariance of Homology
Homology and Cohomology Theories