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  2. Locally connected space - Wikipedia

    en.wikipedia.org/wiki/Locally_connected_space

    Local connectedness is, by definition, a local property of topological spaces, i.e., a topological property P such that a space X possesses property P if and only if each point x in X admits a neighborhood base of sets that have property P. Accordingly, all the "metaproperties" held by a local property hold for local connectedness. In particular:

  3. Gauge theory (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Gauge_theory_(mathematics)

    A local trivialisation for is equivalently given by a local section : and the connection one-form and curvature can be pulled back along this smooth map. This gives the local connection one-form A α = s α ∗ ν ∈ Ω 1 ( U α , ad ⁡ ( P ) ) {\displaystyle A_{\alpha }=s_{\alpha }^{*}\nu \in \Omega ^{1}(U_{\alpha },\operatorname {ad} (P ...

  4. Local area network - Wikipedia

    en.wikipedia.org/wiki/Local_area_network

    An even greater contrast is the Internet, which is a system of globally connected business and personal computers. Ethernet and Wi-Fi are the two most common technologies used for local area networks; historical network technologies include ARCNET, Token Ring, and LocalTalk.

  5. Connection form - Wikipedia

    en.wikipedia.org/wiki/Connection_form

    One may then define a connection that is compatible with this bundle metric, this is the metric connection. For the special case of E being the tangent bundle TM, the metric connection is called the Riemannian connection. Given a Riemannian connection, one can always find a unique, equivalent connection that is torsion-free.

  6. Local system - Wikipedia

    en.wikipedia.org/wiki/Local_system

    In mathematics, a local system (or a system of local coefficients) on a topological space X is a tool from algebraic topology which interpolates between cohomology with coefficients in a fixed abelian group A, and general sheaf cohomology in which coefficients vary from point to point. Local coefficient systems were introduced by Norman ...

  7. Circuit topology (electrical) - Wikipedia

    en.wikipedia.org/wiki/Circuit_topology_(electrical)

    A network with two components or branches has only two possible topologies: series and parallel. Figure 1.2. Series and parallel topologies with two branches. Even for these simplest of topologies, the circuit can be presented in varying ways. Figure 1.3. All these topologies are identical. Series topology is a general name.

  8. Mesh networking - Wikipedia

    en.wikipedia.org/wiki/Mesh_networking

    A mesh network is a local area network topology in which the infrastructure nodes (i.e. bridges, switches, and other infrastructure devices) connect directly, dynamically and non-hierarchically to as many other nodes as possible and cooperate with one another to efficiently route data to and from clients.

  9. Data link layer - Wikipedia

    en.wikipedia.org/wiki/Data_link_layer

    The link-layer functionality was described in RFC 1122 and is defined differently than the data link layer of OSI, and encompasses all methods that affect the local link. The TCP/IP model is not a top-down comprehensive design reference for networks.