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n. pl. to·pol·o·gies
1. Topographic study of a given place, especially the history of a region as indicated by its topography.
2. Medicine The anatomical structure of a specific area or part of the body.
3. Mathematics
a. The study of certain properties that do not change as geometric figures or spaces undergo continuous deformation. These properties include openness, nearness, connectedness, and continuity.
b. The underlying structure that gives rise to such properties for a given figure or space: The topology of a doughnut and a picture frame are equivalent.
4. Computers The arrangement in which the nodes of a network are connected to each other.

top′o·log′ic (tŏp′ə-lŏj′ĭk), top′o·log′i·cal (-ĭ-kəl) adj.
top′o·log′i·cal·ly adv.
to·pol′o·gist n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.topological - of or relating to topology


References in periodicals archive ?
A large number of theories regarding uncertainty with their respective topological structures have been introduced.
Recently scientists have gained insight into the topology of the quantum-mechanical behavior of electrons in some materials, says Fisher, and the discovery of topological phases in the electron states of solids has revealed a ubiquitous influence of topology of the properties of various materials.
Summary: TEHRAN (FNA)- A team of researchers has discovered the strongest topological conductor yet, in the form of thin crystal samples that have a spiral-staircase structure.
A topological algebra A is a topological linear space over the field K (where K is R or C) with an associative separately continuous multiplication that turns A into an algebra over K.
In this position paper, we present a brief overview of the ways topological tools, in particular persistent homology, has been applied to machine learning and data analysis problems.
Topological insulator is a state of quantum matter with insulating bulk states like an ordinary insulator and highly conducting and massless spin-helical surface states on its surface [1-7].
Topological field theories have been introduced by Witten [1] and soon after applied in several areas that describe quantum-mechanical and quantum field-theoretical systems.
In this paper, we consider topological derivative [1] based imaging technique for thin, curve-like penetrable electromagnetic inhomogeneity with small thickness.
A topological index is a numerical parameter of a graph and depicts its topology.
Most dynamical systems are considered chaotic depending on the either the topological or metric properties of the system.
For a Tychonoff space X, we denote by L(X), V(X), F(X), and A(X) the free locally convex space, the free topological vector space, the free topological group, and the free abelian topological group over X, respectively.