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http://mathworld.wolfram.com/CompactSupport.html
Jan 02, 2020 · Compact Support. A function has compact support if it is zero outside of a compact set. Alternatively, one can say that a function has compact support if its support is a compact set. For example, the function in its entire domain (i.e., ) does not have compact support, while any bump function does have compact support.
https://www.encyclopediaofmath.org/index.php/Function_of_compact_support
The support of is the closure of the set of points for which is different from zero . Thus one can also say that a function of compact support in is a function defined on such that its support is a closed bounded set located at a distance from the boundary of by a number greater than , where is sufficiently small.
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https://en.wikipedia.org/wiki/Cohomology_with_compact_support
Singular cohomology with compact support. Let be a topological space. Then This is also naturally isomorphic to the cohomology of the sub– chain complex consisting of all singular cochains that have compact support in the sense that there exists some compact such that vanishes on all chains in .
https://math.stackexchange.com/questions/284045/example-of-a-function-with-compact-support
example of a function with compact support. Ask Question Asked 6 years, 11 months ago. ... Looking for a certain function with compact support. 3. Understanding why the domain of a distribution is defined to be smooth functions with compact support. Hot Network Questions
https://ncatlab.org/nlab/show/compact+support
Definition 0.1. A function on a topological space with values in a vector space (or really any pointed set with the basepoint called ) has compact support (or is compactly supported) if the closure of its support, the set of points where it is non-zero, is a compact subset. That is, the subset is a compact subset of . Typically,...
https://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005/lecture-notes/lecture14.pdf
3.9 Support and Compact Support Now for some terminology. Let U be an open set in Rn, and let f : U → R be a continuous function. Definition 3.26. The support of fis supp f= x∈ U: f(x) = 0}. (3.164) For example, supp f Q = Q. Definition 3.27. Let f : U → R be a continuous function. The function f is compactly supported if supp fis ...
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http://www.iciba.com/compact%20support
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