Results 81 to 90 of about 556,147 (204)
A user's guide to algebraic topology
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.
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Multi criteria adaptation mechanisms in homological sensor networks [PDF]
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
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Atom-bond connectivity index and diameter of graphs
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]
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
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APPLICATION OF ALGEBRAIC TOPOLOGY IN NUMERICAL METHODS
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
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Applications of Algebraic Topology
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
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On the topology of algebraic surfaces and reduction modulo p [PDF]
We show that the topology of a simply-connected smooth projective surface is determined by its algebraic structure modulo ...
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Algebraic topology and concurrency
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
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
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Math 752 Algebraic Topology II - Winter \u2784 [PDF]
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
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