Which is an example of a connected but not locally connected set?
The topologist’s sine curve is an example of a set that is connected but is neither path connected nor locally connected.
Do you need a path connected space to be connected?
Since a simply connected space is, by definition, also required to be path connected, any simply connected space is also connected. Note however, that if the “path connectedness” requirement is dropped from the definition of simple connectivity, a simply connected space does not need to be connected.
When is a subset of a topological space said to be connected?
A subset of a topological space is said to be connected if it is connected under its subspace topology. Some authors exclude the empty set (with its unique topology) as a connected space, but this article does not follow that practice. For a topological space X the following conditions are equivalent:
How is a locally connected space locally connected?
Every locally path-connected space is locally connected. A locally path-connected space is path-connected if and only if it is connected. The closure of a connected subset is connected. Furthermore, any subset between a connected subset and its closure is connected.
The topologist’s sine curve is an example of a set that is connected but is neither path connected nor locally connected.
What do you need to know about custom connectors?
To support more tailored scenarios, you can build custom connectors with their own triggers and actions. These connectors are function-based —data is returned based on calling specific functions in the underlying service. For more information, see Custom connectors overview.
What does it mean to use Microsoft connectors?
It provides a way for users to connect their accounts and leverage a set of prebuilt actions and triggers to build their apps and workflows. Our large ecosystem of software as a service (SaaS) connectors enables you to connect apps, data, and devices in the cloud.
Which is an example of a connector service?
Examples of popular connectors include Salesforce, Office 365, Twitter, Dropbox, Google services, and more. Components of a Connector Each connector offers a set of operations classified as ‘Actions’ and ‘Triggers’. Once you connect to the underlying service, these operations can be easily leveraged within your apps and workflows.