@inbook{15a94e80597d448da6d463c7b2127146,
title = "Introduction",
abstract = "This chapter begins with a brief history of topological persistence from the early 1990s to the present day. This gives context for the contributions of the present monograph. The need for an effective theory of real-parameter persistence modules (the main topic of the monograph) is illustrated by two applications of persistence, to the machine-learning tasks of classification and clustering. We provide an extensive reading list, arranged by topic, to help acquaint the reader with the wider literature on persistence.",
keywords = "Algebraic Topology, Hausdorff Distance, Quiver Representation, Simplicial Complex, Stability Theorem",
author = "Fr{\'e}d{\'e}ric Chazal and \{de Silva\}, Vin and Marc Glisse and Steve Oudot",
note = "Publisher Copyright: {\textcopyright} 2016, The Author(s).",
year = "2016",
month = jan,
day = "1",
doi = "10.1007/978-3-319-42545-0\_1",
language = "English",
series = "SpringerBriefs in Mathematics",
publisher = "Springer Science and Business Media B.V.",
pages = "1--13",
booktitle = "SpringerBriefs in Mathematics",
}