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Results tagged with terminology
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user 18263
Questions of the kind "What's the name for a X that satisfies property Y?"
5
votes
Accepted
Slice-category-like terminology question
I think what you have defined is just called the category of endomorphisms in $\mathcal{C}$. See for instance Marian Mrozek's 1992 paper Normal functors and retractors in categories of endomorphisms f …
- 15.5k
5
votes
Accepted
Terminology Concerning Oriented Simplicial Complexes
The terminology is not new, you can find it in this paper from 1969. So, your maps are just maps of ordered simplicial complexes. …
- 15.5k
5
votes
Decomposition vs filtration vs stratification
At the risk of sounding (oxy?)moronic, I'd say that the term "stratification" is locally standard. Meaning, there exist (at least) three communities which agree internally on what the term means, but …
- 15.5k
4
votes
0
answers
95
views
Name for metric spaces with useful unique-ball-intersection property?
When dealing with the problem of extending a Lipschitz function $f:A \to Y$ between metric spaces across an inclusion $A \hookrightarrow X$, one often imposes (conditions which imply) the following pr …
- 15.5k
4
votes
Accepted
Pairs of paths with the same source and target
With this terminology you can simultaneously get the idea across and score cheap points for alliteration. …
- 15.5k
1
vote
What is the term for combining functions $f_1,f_2,\dots,f_n$ into a tuple $(f_1,\dots,f_n)$?
A reasonable case could be made for calling your tuple-function a multi-span in whichever category $C$ your $\{f_i\}_1^n$ inhabit. When $n=2$, this reduces to the usual span given by roof-diagrams whi …
- 15.5k
1
vote
2
answers
291
views
Terminology generalizing "quasi-isomorphism"
What is the standard terminology for a morphism of $\mathcal{C}$ so that its image under $\mathcal{F}$ is a (mono, epi, iso) morphism? …
- 15.5k