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The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. This is a list of topology topics. See also: Topology glossary; List of topologies; List of general topology topics; List of geometric topology topics
Edelsbrunner and Harer's book gives general guidance on computational topology. [19] One issue that arises in computation is the choice of complex. The Čech complex and the Vietoris–Rips complex are most natural at first glance; however, their size grows rapidly with the number of data points. The Vietoris–Rips complex is preferred over ...
Splunk at AWS Summit. Splunk Inc. is an American software company based in San Francisco, California, [2] that produces software for searching, monitoring, and analyzing machine-generated data via a web-style interface. [3]
The Splunk Style Guide, published online by Splunk. [28] Provides a writing style reference for anyone writing or editing technical documentation. SUSE documentation style guide, published online by SUSE. [29] Wired Style: Principles of English Usage in the Digital Age, 1996 by Constance Hale and Jessie Scanlon for Wired
In mathematics, pointless topology, also called point-free topology (or pointfree topology) and locale theory, is an approach to topology that avoids mentioning points, and in which the lattices of open sets are the primitive notions. [1] In this approach it becomes possible to construct topologically interesting spaces from purely algebraic ...
A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithms for solving problems that arise naturally in fields such as computational geometry, graphics, robotics, social science, structural biology, and chemistry, using methods from computable topology. [1] [2] [3]
Animation detailing the embedding of the Pappus graph and associated map in the torus. In mathematics, topological graph theory is a branch of graph theory.It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological spaces. [1]
The archetypical example of a filter is the neighborhood filter at a point in a topological space (,), which is the family of sets consisting of all neighborhoods of . By definition, a neighborhood of some given point is any subset whose topological interior contains this point; that is, such that . Importantly, neighborhoods are not required to be open sets; those are called open ...