This manuscript will be published as Chapter 5 in Wiley’s textbook Mathe-matical 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 algebraic topology, including persistent homology. 1 ar X i
Algebraic topology is the study of topology using methods and ideas from abstract algebra. In partic...
This book presents the first concepts of the topics in algebraic topology such as the general simpli...
ABSTRACT. Persistent homology is an algebraic tool for measuring topological features of shapes and ...
Combining concepts from topology and algorithms, this book delivers what its title promises: an intr...
This book provides an accessible introduction to algebraic topology, a field at the intersection of t...
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Algebraic topology/homotopy theory is a fundamental field of mathematics, dealing with the very natu...
In this note a course given at the "UN Encuentro de Matemáticas 2016" held in Bogotá (Colombia) is d...
Summary. I develop algebraic-topological theories, algorithms and software for the analysis of non-l...
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of m...
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-...
Applied topology is a rapidly growing discipline aiming at using ideas coming from algebraic topolog...
The human mind has a natural talent for finding patterns and shapes in nature where there are none, ...
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, ...
An algebraic structure consists of a set of elements, with some rule of combining them, or some spec...
Algebraic topology is the study of topology using methods and ideas from abstract algebra. In partic...
This book presents the first concepts of the topics in algebraic topology such as the general simpli...
ABSTRACT. Persistent homology is an algebraic tool for measuring topological features of shapes and ...
Combining concepts from topology and algorithms, this book delivers what its title promises: an intr...
This book provides an accessible introduction to algebraic topology, a field at the intersection of t...
Algebraic topology is a young subject, and its foundations are not yet firmly in place. I shall give...
Algebraic topology/homotopy theory is a fundamental field of mathematics, dealing with the very natu...
In this note a course given at the "UN Encuentro de Matemáticas 2016" held in Bogotá (Colombia) is d...
Summary. I develop algebraic-topological theories, algorithms and software for the analysis of non-l...
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of m...
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-...
Applied topology is a rapidly growing discipline aiming at using ideas coming from algebraic topolog...
The human mind has a natural talent for finding patterns and shapes in nature where there are none, ...
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, ...
An algebraic structure consists of a set of elements, with some rule of combining them, or some spec...
Algebraic topology is the study of topology using methods and ideas from abstract algebra. In partic...
This book presents the first concepts of the topics in algebraic topology such as the general simpli...
ABSTRACT. Persistent homology is an algebraic tool for measuring topological features of shapes and ...
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