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Functional Connectivity

2009
Functional neuroimaging techniques are used widely in cognitive neuroscience to investigate aspects of functional specialization and functional integration in the human brain. Functional integration can be characterized in two ways – functional connectivity and effective connectivity.
Stephan, K E, Friston, K J
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Cerebellum: Connections and Functions

The Cerebellum, 2008
In addition to its role in motor control, reflex adaptation, and motor learning, three sorts of evidence have been put forward to support the idea that the cerebellum may also be involved in cognition. Patients with cerebellar lesions are reported to have deficits in performing one or another cognitive task. The cerebellum is often seen to be activated
Mitchell, Glickstein, Karl, Doron
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Functional Connectivity and Anesthesia

International Anesthesiology Clinics, 2016
Various anesthetic agents at various concentrations have been studied as described above. The analysis techniques for the BOLD fMRI data are also institution and investigator dependent. Despite this variability there seems to be some common patterns in the connectivity effect of various anesthetics/sedatives when the endpoint is LOC.
Cheuk Ying, Tang, Ramachandran, Ramani
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Open, Connected Functions

Canadian Mathematical Bulletin, 1973
Recall that a function f:X→ Yis called connected if f(C) is connected for each connected subset C of X. These functions have been extensively studied. (See Sanderson [6].) A function f:X → Y is monotone if for each y ∊ Y, f-1(y) is connected. We shall use the techniques of multivalued functions to prove that if f: X→ Y is open and monotone onto Y, then
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Connections for sets and functions

Fundamenta Informaticae, 2000
Classically, connectivity is a topological notion for sets, often introduced by means of arcs. An algebraic definition, called connection, has been proposed by Serra to extend the notion of connectivity to complete sup-generated lattices. A connection turns out to be characterized by a family of openings parameterized by the sup-generators, which ...
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Function Space Topologies for Connectivity and Semi-Connectivity Functions

Canadian Mathematical Bulletin, 1966
Let X and Y be topological spaces. If Y is a uniform space then one of the most useful function space topologies for the class of continuous functions on X to Y (denoted by C) is the topology of uniform convergence. The reason for this usefulness is the fact that in this topology C is closed in YX (see Theorem 9, page 227 in [2]) and consequently, if Y
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