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Topology

While geometry is primarily concerned with the mathematical properties of spatial objects, topology is concerned with the mathematical properties of those objects under continuous deformations. Please post all questions about topological subjects like homeomorphisms, manifolds, convergence, and connectedness, as well as their broad applications in computing, physics, and graph theory, into this category.

1,087 Questions

What does the interior of a subspace within a topological space mean?

Let B, t be a topological space and let C ⊂ B. The interior of C, written Co is the union of all of the open sets within C. This can be expressed using set theory notation as

Co = ∪{P Є t | P ⊂ C}.

See related links for more information.

What are some examples of Injection Surjection and Bijection?

Too long to explain so just go here http://en.wikipedia.org/wiki/Bijection,_injection_and_surjection

What are constant mesh gears?

are when all gears are constantly engaged

Difference between isometric view and isometric projection?

I think both are same. There is difference between isometric view and isometric drawing that is of size.

Which value determines if a switch becomes the central point of reference in the spanning tree topology?

Spanning Tree Election Criteria

Spanning Tree builds paths out from a central point along the fastest available links. It selects path according to the following criteria:

1. Lowest root bridge ID (BID)
2. Lowest path cost to the root
3. Lowest sender bridge ID
4. Lowest sender port ID (PID)

Therefore, the answer to your question is Lower Bridge ID

Divide a square in half 4 different ways?

To divide a square in half four different ways, you can draw two diagonals intersecting at the center, creating four equal triangles. Another way is to draw a horizontal line passing through the center of the square, dividing it into two equal rectangles. You can also draw a vertical line through the center to create two more equal rectangles. Lastly, you can divide the square into four smaller squares by drawing two perpendicular lines through the center.

Different types of topologies?

Different types of Networking topologies are

1] Bus topolgy

2] Ring topology

3] Mesh topology

4] Hibrid topology

What is isometric projection?

Isometric projection is another way of saying 3D. With isometric projection things are drawn on a two dimensional surface to show how they would look in 3D.

Definition of topology?

the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures.

Examples of self-reliance?

Examples of self-reliance would be growing your own food or using the sun for energy. Relying on yourself and going off the grid. Some self reliance experts do not use cash for anything but barter instead.

Define orthographic drawing?

orthographic drawing is a drawing that communicates the shape and size of an object through a series of related two-dimensional views.

Define hybrid topology?

A hybrid is a combination of two or more basic network topologies, such as a star-bus, star-ring, or tiered topology. In a hybrid topology, central and distributed topologies are combined to meet the needs of an organization

What is the difference between differential continuity and absolute continuity?

What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples

Which local are network employs a star wired bus topology?

Any network that uses a switch or router, but not a hub, to centrally and physically connect the nodes on the network. It is a physical star, but logically, the nodes communicate as a bus, e.g., each node communicates only with the switch to which it is connected; it is up to the switch to pass the information along another bus connection to another node. A hub, on the other hand, is both physically and logically a star, because all nodes connect to the central bus and the communication path is radiated from one node via the hub to all other nodes. Star-wired bus should not be confused with a star-bus hybrid, which is a network made up of multiple stars, each one connected to the next via a bus.