What is topology in a nutshell?

Phenomenon and Essence: What is the topology in life?

It's about what kind of graphics the computer is connected to.

The so-called "topology" is a method of abstracting entities into "points" that have nothing to do with their size and shape, and abstracting the lines connecting entities into "lines", and then representing the relationship between these points and lines in the form of graphsThe purpose of this study is to study the connection between these points and lines. A diagram that represents the relationship between a point and a line is called a topology diagram.

In geometry, we need to investigate the positional relationship between points and lines, or geometry emphasizes the shape and size of points and lines. Such as trapezoidal, square vertical or, parallelogram.

and circles belong to different geometric structures, but from the perspective of topological structure, because the connection relationship between points and lines is the same, they have the same topology, that is, the ring structure. That is, different geometries may have the same topology.

Structural features. 1) The bus topology is to directly connect all the devices in the network to the common bus through the corresponding hardware interface, and the nodes communicate according to the broadcast mode, and the information sent by one node can be "listened" to other nodes on the bus.

2) Each node of the star topology is connected to the central node by a separate communication line. Advantages: simple structure, easy to implement, easy to manage, easy to monitor and eliminate faults at connection points.

Disadvantages: The central node is a reliable bottleneck of the whole network, and the failure of the central node will lead to the paralysis of the network.

3) Each node of the ring topology forms a fiber closed loop through the communication line, and the data in the ring can only be transmitted in one direction.

Topology is a discipline developed from geometry and set theory, which can be understood as a theoretical science that studies concepts such as space, dimension and transformation. Simply put, topology is a branch of mathematics that studies continuity and connectivity.

It is defined as: Topology is the study of some properties of geometric figures or spaces that remain unchanged after a continuous change of shape. Formally, topology is the study of the property of the "topological space" that remains constant under the "continuous transformation".

Topology studies the change of the geometry of objects by considering only the positional relationships between objects and not their shape and size.

In topology, the concept of two graphs congruence is not discussed, but the concept of topological equivalence is discussed. For example, circles, squares, and triangles are different in shape and size, but they are all equivalent figures under topological transformations; Football and rugby are also equivalent. Because from a topological point of view, their topologies are exactly the same.

The surface of the swimming ring has different topological properties from the surface of the football ball, such as a "hole" in the middle of the swimming ring. In topology, the space represented by the soccer ball is called the sphere, the space represented by the swimming ring is called the torus, and the sphere and the torus are "different" spaces.

Some of the more well-known topological problems are: the one-stroke problem, the four-color problem of the map, the Möbius surface, the Klein bottle, etc.

Topology has been applied to physics, chemistry, biology, linguistics, and even economics.

Klein bottle.

Topology is the study of some properties of geometry or space that remain unchanged after a continuous change of shape. It only considers the positional relationship between objects, not their shape and size. The English name of topology is topology, and the literal translation is geography, which first refers to the study of similar topography and landforms.

1.Involves the relationship between various objects abstracted from strict quantitative measurements. 2.Invariant properties under the same embryo or invariant properties contained in the same embryo.

Topology is a technical term.

Topology diagram. It is a structural diagram of the operation of the equipment, from the terminal to the end. It's simple.

The English name of topology is topology, which literally translates as geology, that is, related disciplines similar to the study of topography and landforms.

Geometric topology is a branch of mathematics formed in the nineteenth century, which belongs to the category of geometry.

Some of the content on topology appeared as early as the eighteenth century.

At that time, some isolated problems were discovered, which later occupied an important place in the formation of topology.