Results 21 to 30 of about 556,147 (204)

Software System Evolution Analysis Method Based on Algebraic Topology

open access: yesTsinghua Science and Technology, 2018
The analysis of software system evolution is highly significant in software research as the evolution runs throughout the lifecycle of a software system.
Chun Shan   +4 more
doaj   +1 more source

A Topological Perspective on Interacting Algebraic Theories [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
doaj   +1 more source

Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed ...
S. E. Rodabaugh
doaj   +1 more source

A characterization of finite \'etale morphisms in tensor triangular geometry [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are precisely those functors which have a conservative right adjoint, satisfy Grothendieck--Neeman duality, and for which the relative dualizing object is ...
Beren Sanders
doaj   +1 more source

On a class of topological algebras [PDF]

open access: yesPacific Journal of Mathematics, 1970
A locally convex algebra \(A\) is \(A\)-convex if the topology for \(A\) is defined by a family of seminorms such that for each seminorm \(p\) and each \(y\) in \(A\), there is a real number \(M\) for which \(p(yx) \leq M p(x)\) and \(p(xy) \leq M p(x)\) for all \(x\) in \(A\). A locally \(m\)-convex algebra is an \(A\)-convex algebra.
Cochran, A. C.   +2 more
openaire   +2 more sources

A topology on categorical algebras

open access: yesFilomat, 2022
On categorical algebras, we define an idempotent filter as an analogous version of Gabriel?s. We also construct topologies on 2-crossed modules of algebras and categorical algebras.
Ulualan, Erdal, Yılmaz, Koray
openaire   +2 more sources

Application Of Homotopy To The Ageing Process Of Human Bone

open access: yesRatio Mathematica, 2023
This article presents the ageing process of human bone which can play a major role in the structure of the human body from the concept of homotopy in algebraic topology. The structure of the human bone, which is precisely connected is consider here to be
Vidhya K.R, Parvathy C.R
doaj   +1 more source

Strict Topologies as Topological Algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Applied Topology and Algorithmic Semi-Algebraic Geometry

open access: yes, 2022
Applied topology is a rapidly growing discipline aiming at using ideas coming from algebraic topology to solve problems in the real world, including analyzing point cloud data, shape analysis, etc.
Negin Karisani (12407755)
core   +3 more sources

Persistent Homology in Machine Learning: Applied Sciences Review

open access: yesProceedings of the International Conference on Applied Innovations in IT, 2023
Topological Data Analysis (‘TDA’) has become a vibrant and quickly developing field in recent years, providing topology-enhanced data processing and Machine Learning (‘ML’) applications.
Oleksandr Yavorskyi   +2 more
doaj   +1 more source

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