Network science meets algebraic topology
نویسندگان
چکیده
منابع مشابه
Categorically-algebraic topology and its applications
This paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. It incorporates the most important settings of lattice-valued topology, including poslat topology of S.~E.~Rodabaugh, $(L,M)$-fuzzy topology of T.~Kubiak and A.~v{S}ostak, and $M$-fuzzy topology on $L$-fuzzy sets of C.~Guido. Moreover, its respe...
متن کاملLax Algebra Meets Topology
We combine two research directions of the past decade, namely the development of a lax-algebraic framework for categories of interest to topologists and analysts, and the exploration of key topological concepts, like separation and compactness, in an abstract category which comes equipped with an axiomatic notion “closed” or “proper” map. Hence, we present various candidates for such notions in...
متن کاملAlgebraic Topology
This manuscript will be published as Chapter 5 in Wiley’s textbook Mathematical Tools for Physicists, 2nd edition, edited by Michael Grinfeld from the University of Strathclyde. The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebr...
متن کاملAlgebraic Topology
Algebraic topology is at a point of inflection today, and the Spring 2014 Algebraic Topology program at MSRI reflects the excitement of this moment. The introductory workshop, with more than 200 participants, provided careful introductions to the dominant themes leading up to this moment, giving an informative welcome to the many young researchers in the program and attending the conference. Th...
متن کاملComputer Science Meets Medical Science
In the past 20–30 years at least two technical advances have made quantification in pathology at a large scale possible. At the time the computing power of affordable computers increased, interest to deploy tasks emerged that were previously very laborious to perform. Combined with digital camera systems, many new possibilities became available. Examples of such measurements that were previousl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: National Science Review
سال: 2019
ISSN: 2095-5138,2053-714X
DOI: 10.1093/nsr/nwz066