topology wikipedia - EAS

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    Topology - Wikipedia

    https://en.wikipedia.org/wiki/Topology

    In mathematics, topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening

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    The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. For example, the square and the circle have many

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    Topology, as a well-defined mathematical discipline, originates in the early part of the twentieth century, but some isolated results can be traced back several centuries. Among these are certain questions in geometry investigated by Leonhard Euler.

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    Topologies on sets
    The term topology also refers to a specific mathematical idea central to the area of mathematics called topology. Informally, a topology tells how

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    General topology
    General topology is the branch of topology dealing with the basic set-theoretic definitions and

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    Ryszard Engelking, General Topology, Heldermann Verlag, Sigma Series in Pure Mathematics, December 1989, ISBN 3-88538-006-4

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    Biology
    Topology has been used to study various biological systems including molecules and nanostructure (e.g., membraneous objects ). In particular,

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  2. Network topology - Wikipedia

    https://en.wikipedia.org/wiki/Network_topology

    Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe the arrangement of various types of telecommunication networks, including command and control radio networks, industrial fieldbusses and computer networks.

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  3. Topology - Simple English Wikipedia, the free encyclopedia

    https://simple.wikipedia.org/wiki/Topology

    Topology is an area of Mathematics, which studies how spaces are organized and how they are structured in terms of position. It also studies how spaces are connected. It is divided into algebraic topology, differential topology and geometric topology . A Möbius strip, a surface with only one side and one edge; such shapes are an object of ...

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    • Tô pô – Wikipedia tiếng Việt

      https://vi.wikipedia.org/wiki/Tô_pô
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      Người ta có phát biểu rằng một nhà tô pô học là người mà không thể phân biệt được sự khác nhau giữa một cái vòng xuyến và một ca đựng bia có quai. Vì cả hai đều là vật rắn và có đúng 1 lỗ hổng, hay nói một cách chính xác là chúng đồng phôi với nhau, nghĩa là có 1 phép đồng phôi (là 1 song ánh mà ánh xạ thuận và ngược …
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      • Network topology - Simple English Wikipedia, the free ...

        https://simple.wikipedia.org/wiki/Network_topology
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        There are seven basic topologies: 1. Point-to-point topology 2. Bus (point) topology 3. Star topology 4. Ring topology 5. Tree topology 6. Full/partial Mesh topology 7. Hybrid topology Which of these is chosen depends on what devices need to be connected, how reliable it has to be, and the cost associated with cabli…
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        • Topology - Wikipedia

          https://fj.wikipedia.org/wiki/Topology

          Ena fika, topology e kauwaitaka na iyau ni dua fika iyaya ka ra maroroi tu ena cakacaka tikoga vakadeitaki, me vaka dodokaki, tukiraki, yavu kei na tatuki, ia e sega ni wainisiki se tiromuki.. Na topological vanualala sa tuva vakaedua ena dua na vale, vakatokai me topology, ka na rawa ni vakamacalataki tikoga kina na vakadeitaki ni lalaivanualala, kei na kena e levu cake, …

        • Topologie — Wikipédia

          https://fr.wikipedia.org/wiki/Topologie

          La topologie est la branche des mathématiques qui étudie les propriétés d'objets géométriques préservées par déformation continue sans arrachage ni recollement, comme un élastique que l’on peut tendre sans le rompre. Par exemple, on identifie le cercle et l’ellipse, la couronne et la paroi latérale d’un cylindre de révolution, une tasse et un tore (voir animation) ; c’est ...

        • Topologie – Wikipedie

          https://cs.wikipedia.org/wiki/Topologie

          Topologie (z řeckého topos - místo a logos - studie) je obor matematiky, opírající se o velmi obecný výklad pojmu prostor (topologický prostor).Studuje takové vlastnosti útvarů, které se nemění při oboustranně spojitých transformacích („blízké“ body se transformují opět v „blízké“ body).. V topologii nezáleží na geometrických vlastnostech, závislých na ...



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