topology

(noun)

a branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms

Related Terms

Examples of topology in the following topics:

  • Surfaces in Space

    • A surface is a two-dimensional, topological manifold.

  • Lines of Cleavage and Surgery

    • Cleavage lines are topological lines drawn on a map of the human body and correspond to the orientation of collagen fibers in the dermis.
    • Langer's lines, sometimes called cleavage lines, are topological lines drawn on a map of the human body .

  • GIS

    • One of the most important concepts associated with GIS and other geotechnologies is topology.
    • As features are added to a GIS, they form spatial relationships -- called topologies -- with each other.
    • This type of topology looks at the spatial relationships between the locations of features.
    • The relationships among these features is the distance type of topology.
    • The relationships that describe where these streets connect with each other are the adjacency type of topology.

  • Continuity

    • Continuity of functions is one of the core concepts of topology.

  • Supercoiling

    • Additionally, certain enzymes such as topoisomerases are able to change DNA topology to facilitate functions such as DNA replication or transcription.
    • The noun form "supercoil" is rarely used in the context of DNA topology.
    • Many topoisomerase enzymes sense supercoiling and either generate or dissipate it as they change DNA topology.

  • Introduction to Share Management Tasks as Well as Technical Tasks

    • There is no reason not to share that burden, and sharing it does not necessarily require a top-down hierarchy either—what happens in practice tends to be more of a peer-to-peer network topology than a military-style command structure.

  • Dipole Moments

    • There are many different types of dipole moments, including electric dipole moments, magnetic dipole moments, and topological dipole moments.

  • Oligotrophs

    • The control circuitry monitors the environment and the internal state of the cell, including the cell topology, as it orchestrates activation of cell cycle subsystems and Caulobacter crescentus asymmetric cell division.

  • Gastrulation

    • A change in the topological structure of the embryo, from a simply connected surface (sphere-like), to a non-simply connected surface (torus-like)

  • Production and Cost in the Long-run

    • Using a topological map of "isoquants," three dimensions can be shown in two dimensions.
    • It can be thought of as a "topological map" of production.