elementary topology

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• Topology — (Greek topos , place, and logos , study ) is the branch of mathematics that studies the properties of a space that are preserved under continuous deformations. Topology grew out of geometry, but unlike geometry, topology is not concerned with… …   Wikipedia

• Elementary algebra — is a fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic. It is typically taught in secondary school under the term algebra. The major… …   Wikipedia

• topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c …   Universalium

• General topology — In mathematics, general topology or point set topology is the branch of topology which studies properties of topological spaces and structures defined on them. It is distinct from other branches of topology in that the topological spaces may be… …   Wikipedia

• Compact-open topology — In mathematics, the compact open topology is a topology defined on the set of continuous maps between two topological spaces. The compact open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory… …   Wikipedia

• Electronic filter topology — An elementary filter topology introduces a capacitor into the feedback path of an op amp to achieve an unbalanced active implementation of a low pass transfer function Electronic filter topology defines electronic filter circuits without taking… …   Wikipedia

• Collapse (topology) — In topology, a branch of mathematics, collapse is a concept due to J. H. C. Whitehead.[1] Contents 1 Definition 2 Examples 3 References …   Wikipedia

• Differential topology — In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. It is closely related to differential geometry and together they make up the geometric theory of differentiable manifolds.… …   Wikipedia

• Zariski topology — In algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition. It is due to Oscar Zariski and took a place of particular importance in the field around… …   Wikipedia

• Triangulation (topology) — In mathematics, topology generalizes the notion of triangulation in a natural way as follows: A triangulation of a topological space X is a simplicial complex K , homeomorphic to X , together with a homeomorphism h : K o X . Triangulation is… …   Wikipedia

• combinatorial topology — noun : a study that deals with geometric forms based on their decomposition into combinations of the simplest geometric figures * * * Math. the branch of topology that deals with the properties of geometric figures by considering the figures as… …   Useful english dictionary