• ## Topology - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Topology Topology began with the investigation of certain questions in geometry by Leonhard Euler. His 1736 paper on the Seven Bridges of Königsberg is regarded as one of the ...
• ## Topological - definition of topological by The Free Dictionary

www.thefreedictionary.com/topological to·pol·o·gy (tə-pŏl′ə-jē) 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 ...
• ## Topological space - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Topological_space In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, that ...

• ## Topological | Definition of Topological by Merriam-Webster

www.merriam-webster.com/dictionary/topological Seen and Heard. What made you want to look up topological? Please tell us where you read or heard it (including the quote, if possible).
• ## Topology | Define Topology at Dictionary.com

dictionary.reference.com/browse/topology Topology definition, ... 1610s (implied in topological), from topo-, comb. form of Greek topos "place" (see topos) + -logy.
• ## What is Topology?

www.math.wayne.edu/~rrb/topology.html What is Topology? A short and idiosyncratic answer Robert Bruner . Basically, topology is the modern version of geometry, the study of all different sorts of spaces.
• ## Topological Space -- from Wolfram MathWorld

mathworld.wolfram.com/TopologicalSpace.html Topological Space. A topological space, also called an abstract topological space, is a set together with a collection of open subsets that satisfies the four conditions:
• ## Ali Yazdani, "Topological Insulators - Princeton University

wwwphy.princeton.edu/~yazdaniweb/Research_TopoInsul.php Energy-band structure and spin orientation for normal and topological surface states. (a) In a normal metal, electrons occupy energy (E) levels up to a maximum level ...
• ## Topology - definition of topology by The Free Dictionary

www.thefreedictionary.com/topology Define topology. topology synonyms, topology pronunciation, ... (Mathematics) maths a family of subsets of a given set S, such that S is a topological space. 4.
• ## Topology | Definition of Topology by Merriam-Webster

www.merriam-webster.com/dictionary/topology Define topology: topographic study of a particular place specifically : ... topological equivalence. topological group. topologically equivalent.