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## topology

### Examples

• Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. The word topology is used both for the area of study and for a family of sets with certain properties described below. — “”,
• topology n. , pl. , -gies . Topographic study of a given place, especially the history of a region as indicated by its topography. — “topology: Definition from ”,
• Topology is the study of sets on which one has a notion of "closeness" -- enough to decide which functions defined on it are continuous. More formally, a topological space is a set X on which we have a topology -- a collection of subsets of X which we call the "open" subsets of X. The. — “54: General topology”, math.niu.edu
• Topology builds on set theory, considering both sets of points and families of sets. The word topology is used both for the area of study and for a family of sets with certain properties described below that are used to define a topological space. — “Topology”, schools-
• Common physical topologies for computer networks are introduced. The advantages and disadvantages of the linear bus, star, star-wired ring, and tree topologies are discussed. General information is provided on cost, cable length,. — “Chapter 5: Topology”, fcit.coedu.usf.edu
• We begin our exploration of set-theoretic topology by starting with per elements of the topology T , and subsets of the space X. Elements of X, on. — “Topology”, ma.utexas.edu
• Topology is an important, classical mathematical discipline, which treats interesting objects (such as the A full study of topology is hard (it is a huge ﬁeld that encompasses. — “Topology”, math.tu-
• Topology (from the Greek τόπος, "place", and λόγος, "study") is a major area of mathematics concerned with spatial properties that are preserved under continuous deformations of objects, for example, deformations that involve stretching, but no tearing or gluing. — “Topology - Wikipedia, the free encyclopedia”,
• More recently, topology and differential geometry have provided the language in which to formulate much of modern theoretical high energy physics. This interaction has brought topology, and mathematics more generally, a whole host of new questions and ideas. — “Topology”, math.columbia.edu
• The online version of Topology on ScienceDirect, the world's leading platform for high quality peer-reviewed full-text publications in science, technology and health. — “ScienceDirect - Topology, Volume 48, Issues 2-4, Pages 41-224”,
• Algebraic Topology Discussion List - The primary functions of this list are: providing abstracts of papers posted to the Hopf archive, providing information about topology conferences, and serving as a forum for topics related to algebraic topology. — “Open Directory - Science: Math: Topology”,
• In architecture, topology is a term used to describe spatial effects which can not be described by topography, i.e., social, economical, spatial or phenomenological interactions. In mathematics, topology is a branch concerned with the study of topological spaces. — “Topology - Wikinfo”,
• Encyclopedia article about Topology. Information about Topology in the Columbia Encyclopedia, Computer Desktop Encyclopedia, computing dictionary. network topology, bus topology, star topology, mesh topology, algebraic topology, logical topology. — “Topology definition of Topology in the Free Online Encyclopedia”, encyclopedia2
• The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to Topology. — “The Math Forum - Math Library - Topology”,
• General Topology is based solely on set theory and concerns itself with structures of sets. All topology generalizes concepts from ***ysis dealing with space such as continuity of functions, connectedness of a space, open and closed. — “Topology - Wikibooks, collection of open-content textbooks”,
• Topology (from the Greek τόπος, "place", and λόγος, "study") is a major area of mathematics concerned with spatial properties that are preserved under continuous deformations of objects, for example, deformations that involve stretching, but no tearing or gluing. — “Topology - Reference”,
• topology branch of mathematics , formerly known as ***ysis situs, that studies patterns of geometric figures involving position and relative. — “topology Facts, information, pictures | ”,
• Definition of topology in the Online Dictionary. Meaning of topology. Pronunciation of topology. Translations of topology. topology synonyms, topology antonyms. Information about topology in the free online English dictionary and encyclopedia. — “topology - definition of topology by the Free Online”,
• Topology definition, the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching. See more. — “Topology | Define Topology at ”,
• Topology (Greek topos = place and logos = word) is a branch of mathematics concerned with Topology is concerned with the study of the so-called topological. — “Topology - Definition”,
• Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with spatial properties preserved under bicontinuous deformation (stretching without tearing or gluing); these are the topological invariants. When the discipline. — “Topology - Psychology Wiki”,