Exploring monoidal structures in filtered chain complexes and their implications.
― 6 min read
Mathematics - Algebraic Topology
RSSThis article introduces dagger categories and bordism categories in simple terms.
― 6 min read
This article explores the unique properties and applications of -operads in combinatorial mathematics.
― 5 min read
Examining filtered chain complexes and bicomplexes through model categories in homotopy theory.
― 5 min read
A clear overview of effective Kan fibrations and their significance in homotopy theory.
― 9 min read
An exploration of the Spin-Statistics Theorem and its implications in quantum physics.
― 5 min read
This paper links operads and Mackey functors using finite groups.
― 6 min read
Soft Mapper improves data visualization by optimizing filter functions in Mapper graphs.
― 7 min read
An overview of stable homotopy theory and its computational methods.
― 6 min read
A fresh approach improves comparison of persistence diagrams for data analysis.
― 6 min read
A look at cohomology, augmented algebras, and spectral sequences in algebraic topology.
― 4 min read
New developments in spectra theory reveal deeper mathematical connections.
― 5 min read
A look into levels and biexact functors in triangulated categories.
― 6 min read
Examining methods to control and manage complex networks effectively.
― 5 min read
Monads and comonads simplify complexity in mathematics and computer science.
― 6 min read
A look into differential complexes and their applications in science and math.
― 6 min read
This article examines tropical covers and their impact on moduli spaces.
― 5 min read
A deep dive into the structure of twisted simplicial distributions and their relevance to quantum mechanics.
― 6 min read
A new method simplifies the analysis of complex persistence modules.
― 6 min read
A study on Galois-Maximal varieties and their symmetric products in algebraic geometry.
― 5 min read
Exploring the connections between algebra and topology through rational homotopy.
― 5 min read
Explore how persistent homology aids in understanding complex data structures.
― 5 min read
A look into mathematical structures shaping our understanding of space.
― 4 min read
Exploring the role of homotopy BV-algebras in the study of geometry.
― 5 min read
A novel technique accelerates the analysis of piecewise constant functions.
― 6 min read
This article examines the impact of neural networks on data shape and classification.
― 6 min read
A look at the methods and challenges in guiding robots through complex environments.
― 6 min read
This study examines braid indices for non-alternating pretzel links.
― 5 min read
An overview of cohomology and its relevance to semidirect products in group theory.
― 4 min read
A new framework blends TDA and optimal transport for matching data structures.
― 7 min read
A study using TDA reveals historical links between languages through word embeddings.
― 5 min read
A look at how simplicial complexes help us study shapes and volumes.
― 5 min read
A clear exploration of homotopy and homology in topology.
― 6 min read
Research sheds light on schemes and their properties within algebraic geometry.
― 4 min read
This article explores the relationship between magnitude homology and path homology in directed graphs.
― 4 min read
An overview of automorphism groups, cohomology, and their applications in mathematics.
― 5 min read
This article explains amyloid fibrils and their link to various diseases.
― 5 min read
Exploring the properties and applications of semi-coarse spaces in mathematics.
― 6 min read
Exploring the relationship between geometry, symmetries, and representation theory.
― 6 min read
This article examines the properties and structures of compact, connected, orientable 3-manifolds with boundaries.
― 6 min read