In the mathematical field of topology, a development is a countable collection of open covers of a topological space that satisfies certain separation...

of technical drawing Development (topology), a countable collection of open coverings Development, a term used in chess Development of doctrine, a term...

Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric...

areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric...

In chemistry, topology provides a way of describing and predicting the molecular structure within the constraints of three-dimensional (3-D) space. Given...

In mathematics, combinatorial topology was an older name for algebraic topology, dating from the time when topological invariants of spaces (for example...

topology Countable discrete topology Uncountable discrete topology Indiscrete topology Partition topology Odd–even topology Deleted integer topology Finite...

Topology optimization is a mathematical method that optimizes material layout within a given design space, for a given set of loads, boundary conditions...

Electronic filter topology defines electronic filter circuits without taking note of the values of the components used but only the manner in which those...

In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean...

common computer network topologies. The hub and hosts, and the transmission lines between them, form a graph with the topology of a star. Data on a star...

discrete wavelengths depend on quantum energy levels. Following the development topology in the early 20th century spearheaded by Henri Poincaré, topologists...

Geospatial topology is the study and application of qualitative spatial relationships between geographic features, or between representations of such features...

In mathematics, noncommutative topology is a term used for the relationship between topological and C*-algebraic concepts. The term has its origins in...

normed spaces. They can be defined as topological vector spaces whose topology is generated by translations of balanced, absorbent, convex sets. Alternatively...

presaged the development of topology. The difference between the actual layout and the graph schematic is a good example of the idea that topology is not concerned...

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a...

A torus interconnect is a switch-less network topology for connecting processing nodes in a parallel computer system. In geometry, a torus is created by...

The circuit topology of an electronic circuit is the form taken by the network of interconnections of the circuit components. Different specific values...

contributions to set theory and topology. In topology, the Alexandroff compactification and the Alexandrov topology are named after him. Alexandrov attended...

working knowledge of calculus and topology. After a line, a circle is the simplest example of a topological manifold. Topology ignores bending, so a small piece...

mathematics is the development of what is sometimes called the Munkres assignment algorithm. A significant contribution in topology is his obstruction...

the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and ordinary...

In the mathematical field of topology, a topological space is usually defined by declaring its open sets. However, this is not necessary, as there are...

'topology is rubber-sheet geometry'. Subfields of topology include geometric topology, differential topology, algebraic topology and general topology....

origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of modules and syzygies)...

r-dimensional integral manifolds. The theorem is foundational in differential topology and calculus on manifolds. Contact geometry studies 1-forms that maximally...

other branches of topology as the topological spaces do not have to be similar to manifolds. Generalized trigonometry developments of trigonometric methods...

1970–1972 John Milnor: mathematician, known for his work in differential topology Chuck Missler: Bible Teacher, Engineer, chairman and CEO Western Digital...

Link Layer Topology Discovery (LLTD) is a proprietary link layer protocol for network topology discovery and quality of service diagnostics. Microsoft...