Results 81 to 90 of about 556,147 (204)

A user's guide to algebraic topology

open access: yes, 1997
From the publisher: We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors ...
Dodson, C. T. J., Parker, Phillip E.
core  

Multi criteria adaptation mechanisms in homological sensor networks [PDF]

open access: yes, 2008
One fundamental feature of sensor network is unpredictable and this brings us a challenge of how to design an adaptation mechanism to let a sensor network adjust itself based on current "context" and pre-defined network criteria which include coverage ...
Zhang, Hui   +6 more
core   +1 more source

Atom-bond connectivity index and diameter of graphs

open access: yesJournal of Hebei University of Science and Technology, 2016
For further study of the numerous nice properties of topological indices in physical and chemical fields, it is worth considering the relation between a degree-based index and a distance-based index.
Lin WU, Yumei HU
doaj   +1 more source

The Topology of Spaces of Polygons [PDF]

open access: yes, 2011
We study the topology of spaces of polygons in Euclidean space, viewed up to translations. The main results concern the structure of the homology groups and of the cohomology rings of the spaces.
FROMM, VIKTOR
core  

APPLICATION OF ALGEBRAIC TOPOLOGY IN NUMERICAL METHODS

open access: yes, 2021
В статье рассмотрены вопросы, связанные с численным интегрированием и алгебраической топологией, приведены основные термины и определения, использованы простые примеры, иллюстрирующие некоторые методы алгебраической топологии и их применение в ...
Агафонов Александр Алексеевич   +1 more
core  

Applications of Algebraic Topology

open access: yes, 2014
Algebraic topology is the study of topology using methods and ideas from abstract algebra. In particular, we introduce the fundamental group of a topological space, and we showcase the power of algebraic topology by using fundamental groups to prove ...
Veenendaal, Jason
core  

On the topology of algebraic surfaces and reduction modulo p [PDF]

open access: yes, 2016
We show that the topology of a simply-connected smooth projective surface is determined by its algebraic structure modulo ...

core   +1 more source

Algebraic topology and concurrency

open access: yesTheoretical Computer Science, 2006
This article outlines a way in which algebraic topology can be applied to concurrency theory. The state of a concurrent computation can be represented by a configuration space in which each point stands for the locations of the participating processes in their tasks.
Lisbeth Fajstrup   +2 more
openaire   +2 more sources

Algebraic topology and distributed computing

open access: yes
Algebraic topology has proved to be a useful tool in the study of distributed computing. In this paper, we take a geometric realization problem that arises in distributed computing and formulate it as a more general problem in algebraic topology.
Wu, Jie   +3 more
core   +1 more source

Math 752 Algebraic Topology II - Winter \u2784 [PDF]

open access: yes, 1984
A collection of notes for the course MAT 752, Algebraic Topology II, prepared by Professor David Handel of the Wayne State University Mathematics Department.
Handel, David
core   +1 more source

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