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https://ncatlab.org/nlab/show/direct+image+with+compact+support
direct image with compact support Skip the Navigation Links Home Page All Pages ... of the direct image functor f * f_* such that for any abelian sheaf F F over X X the sections of f! (F) f_!(F) ... F and calls this group a group of sections of F F with compact support.
https://link.springer.com/chapter/10.1007/978-3-642-82783-9_7
Abstract. The inclusion h: W → X of a locally subspace of a locally compact space gives rise to a very useful functor h 1: Sh(W) → Sh(X), compare II. 6 and III.7. In order to generalize this notion let us observe that h is a proper map if and only if W is a closed subspace of X, III.6.Author: Birger Iversen
https://math.stackexchange.com/questions/1511062/difference-between-direct-image-and-exceptionnal-direct-image-of-a-local-system
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https://www.sciencedirect.com/science/article/pii/S0262885600000573
Here, we introduce radial basis functions with compact support for elastic registration of medical images which have an improved locality, i.e. which allow to constrain elastic deformations to image …Cited by: 250
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https://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005/lecture-notes/lecture14.pdf
Lecture 14 As before, let f: R R→ be the map defined by 0 f(x) = e−1/x if x≤ 0, (3.162) if x>0. This is a Cinf(R) function. Take the interval [a,b] ∈ R and define the function ... 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 ...
https://en.wikipedia.org/wiki/Direct_image_functor
The direct image functor is left exact, but usually not right exact. Hence one can consider the right derived functors of the direct image. They are called higher direct images and denoted R q f ∗. One can show that there is a similar expression as above for higher direct images: for a sheaf F on X, R q f ∗ (F) is the sheaf associated to ...
http://www.muellerdirect.com/
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