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  1. Dictionary
    topology
    /təˈpɒlədʒi/

    noun

    • 1. the way in which constituent parts are interrelated or arranged: "using distances determined in this manner ignores existing road conditions and topology that can potentially affect travel time and costs"
    • 2. the study of geometrical properties and spatial relations unaffected by the continuous change of shape or size of figures.

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  2. www.geeksforgeeks.org › types-of-network-topologyTypes of Network Topology - GeeksforGeeks

    Jun 19, 2024 · Learn about different types of network topology, such as point to point, mesh, star, bus, ring, tree, and hybrid. Compare their advantages and disadvantages, examples, and applications in computer networks.

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  4. www.britannica.com › science › mathematicsMathematics - Algebraic Topology, Homology, Cohomology

    Jul 6, 2024 · Mathematics - Algebraic Topology, Homology, Cohomology: The early 20th century saw the emergence of a number of theories whose power and utility reside in large part in their generality. Typically, they are marked by an attention to the set or space of all examples of a particular kind.

  5. ncatlab.org › nlab › showtopological space in nLab

    Jun 24, 2024 · However, the equivalence of this definition to the traditional definition of a topological space requires the ultrafilter principle to be true. A set with a convergence relation between nets or filters (not just ultrafilters) and points, or even between transfinite sequences and points, satisfying appropriate axioms.

  6. mathworld.wolfram.com › UsualTopologyUsual Topology -- from Wolfram MathWorld

    Jul 8, 2024 · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld

  7. www.britannica.com › science › mathematicsMathematics - Geometry, Measurement, Topology | Britannica

    Jul 6, 2024 · Mathematics - Geometry, Measurement, Topology: A major activity among geometers in the 3rd century bce was the development of geometric approaches in the study of the physical sciences—specifically, optics, mechanics, and astronomy.

  8. www.britannica.com › science › mathematicsMathematics | Definition, History, & Importance | Britannica

    Jul 6, 2024 · Mathematics, the science of structure, order, and relation that has evolved from counting, measuring, and describing the shapes of objects. Mathematics has been an indispensable adjunct to the physical sciences and technology and has assumed a similar role in the life sciences.

  9. link.springer.com › chapter › 10New Topologies on Partial Metric Spaces and M -Metric Spaces -...

    Jul 4, 2024 · The new topology is weaker than the previously defined topology for PMS and MMS. We remove the condition \ (p (x, x) \le p (x, y)\) from partial metric space and \ (m_ {x,y} \le m (x, y)\) from M -metric space, as well. By our definitions, the new topology is Hausdorff, while the first topology isn’t. Download chapter PDF. Keywords. M -metric space

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