Examples of 'simply connected' in a sentence

Meaning of "simply connected"

simply connected - In mathematics, specifically in topology, this phrase describes a property of a space or region. It means that the space does not have any "holes" or separate, disconnected components. It implies that it is possible to continuously transform any loop in the space into a point.
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  • Having its fundamental group a singleton.

How to use "simply connected" in a sentence

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simply connected
They are simply connected and ready to use.
A covering space is a universal covering space if it is simply connected.
Simply connected to each other and also.
They may also be simply connected to one another.
Every hyperbolic component of the tricorn is simply connected.
The sphere is simply connected but a torus is not.
Contractible spaces are always simply connected.
It is simply connected by internet which is not a strange thing now.
Every contractible space is simply connected.
You are simply connected.
It is path connected but not semilocally simply connected.
It is also simply connected.
A surface with a trivial fundamental group is said to be simply connected.
The domain is simply connected.
Apple simply connected already available technologies in the right way.

See also

The reason is that it is not simply connected at infinity.
Simply connected space.
For instance it is not simply connected.
Simply connected domain.
Connected and simply connected.
Large spikes are expected to appear if the universe is not simply connected.
Can then be simply connected.
One can see this as a result telling that space is simply connected.
Locally simply connected.
The case when the spectrum is not simply connected.
Is not simply connected.
Standard cosmological theories are based on the assumption that spacetime is smooth and simply connected.
G should be simply connected.
Valid simply connected mazes can however be generated by focusing on each cell independently.
Everyone is simply connected.
Every simply connected space and every locally simply connected space is semilocally simply connected.
Construction of conformal mappings from simply connected regions onto canonical domains.
Every simply connected Riemann surface is planar.
The shape depicting the sinuses is simply connected and a star domain.
The keypad is simply connected to the diagnostic interface on the front of the inverter.
Every convex subset of Rn is simply connected.
It is not simply connected to a.
Note also that we have not yet used the assumption that G is simply connected.
The objective is to find a simply connected continuous region of the solution space.
Simply connected them through a USB cable.
The circle is an example of a locally simply connected space which is not simply connected.
Any simply connected Riemann surface is planar.
The Hawaiian earring is a space which is neither locally simply connected nor simply connected.
A quotient space of a simply connected or contractible space need not share those properties.
The big assumption in here is that D needs to be simply connected.
The water from the feed was simply connected into the modern water network.
In a simply connected complete Riemannian manifold with nonpositive.
Suppose that we vary the complex structure of X over a simply connected base.
The compact form is simply connected and its outer automorphism group is the trivial group.
Suppose further that G is simply connected.

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Examples of using Connected
You are directly connected to three different murders
Connected switch is offline or not operating properly
The audio cable is connected to the headset
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Examples of using Simply
You just simply need a small percentage
It may be a causal determinant or simply a risk marker
I am simply trying to find out if you know
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