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## Filters

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Limit Preservation from Naturality

2005
*
Electronical Notes in Theoretical Computer Science
*

A functor G : C → D is said to

doi:10.1016/j.entcs.2004.06.048
fatcat:wnnsmygmnbgfxob2atxfydr3fa
*preserve**limits*of a diagram D : I → C if it sends any*limiting*cone*from*x to D to a*limiting*cone*from*G(x) to G • D. ... In particular,*naturality*in the diagram alone is sufficient to yield the*preservation*of connected*limits*. ... Inspiration for this work came*from*his Cambridge Part III lectures on category theory in the Michaelmas term 1995, emphasising ends and coends. ...##
###
Page 492 of The Philosophical Review Vol. 61, Issue 4
[page]

1952
*
The Philosophical Review
*

*from*comfortable self-

*preservation*) ; the

*natural*right to com- fortable self-

*preservation*was illusory. ... : the

*natural*law regarding property necessarily remains within the

*limits*set to the law of

*nature*as such. ...

##
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Land use limitations: environmental and socioeconomic impacts

2020
*
Baltic Surveying
*

Land use

doi:10.22616/j.balticsurveying.2020.vol13.007
fatcat:re3mgbzohjgvvkghhtzn7gvkri
*limitations*could be considering in different areas. On one hand, the feasibility of land use is governing by the methods of spatial planning, based on*natural*and anthropogenic conditions. ... Environmental and socioeconomic impact of land use*limitations*formation on the example of*limitations*caused by the activity of a mode-forming object are described in the study. ...*Limitations*caused by the need to*preserve*existing*natural*resources as a whole (*nature*reserved fund objects); 3. ...##
###
The world as a garden: a philosophical analysis of natural capital in economics

2015
*
Erasmus Journal for Philosophy and Economics
*

Chapter five, "No One Can

doi:10.23941/ejpe.v8i2.207
fatcat:cxnhjoxgpzd3ri266vpqib4oji
*Preserve**Nature*", begins by recognizing a corollary of the garden image of*nature*. ... intentional human agency; therefore, no one can*preserve*(or restore)*nature*. ...##
###
Duality and contravariant functors in the representation theory of artin algebras
[article]

2017
*
arXiv
*
pre-print

An additive functor G:(R-Mod)^op→Ab

arXiv:1603.05863v3
fatcat:3yrhm55nibgyjgipbv4j6nr4su
*preserves*inverse*limits*and G|_(R-mod)^op:(R-mod)^op→Ab is finitely presented if and only if there is a sequence of*natural*transformations (-,A)→(-,B)→ G→ 0 for some ... Since F*preserves*direct*limits*, it follows*from*Lemma 3.11 that this*natural*transformation is an isomorphism for any c ∈ C. Theorem 3.16. ... Since (−) * ⊗ N ∼ = (N, −) * , it follows*from*Remark 3.18 that it*preserves*inverse*limits*. ...##
###
Duality and contravariant functors in the representation theory of artin algebras

2018
*
Journal of Algebra and its Applications
*

An additive functor G : (R-Mod) op → Ab

doi:10.1142/s0219498819501111
fatcat:wyilqsmqafh4lazhsdolik4xzi
*preserves*inverse*limits*and G| (R-mod) op : (R-mod) op → Ab is finitely presented if and only if there is a sequence of*natural*transformations (−, A) → (−, B) ... Since F*preserves*direct*limits*, it follows*from*Lemma 3.11 that this*natural*transformation is an isomorphism for any c ∈ C. Theorem 3.16. ... Since (−) * ⊗ N ∼ = (N, −) * , it follows*from*Remark 3.18 that it*preserves*inverse*limits*. ...##
###
A Note on Coalgebras and Presheaves

2002
*
Electronical Notes in Theoretical Computer Science
*

We show that the category of coalgebras of a wide-pullback

doi:10.1016/s1571-0661(04)80373-6
fatcat:oa6aup3drbgonjekwencswadhm
*preserving*endofunctor on a category of presheaves is itself a category of presheaves. ... Furthermore, T A clearly*preserves*final objects. Thus T A*preserves*all small*limits*, since any small*limit*may be constructed*from*final objects and wide pullbacks. ... A wide-pullback*preserving*functor whose domain category is complete*preserves*all connected*limits*[1, Lemma 2.1]. It follows that T*preserves**limits*indexed by the chain ω op . ...##
###
A note on coalgebras and presheaves

2005
*
Mathematical Structures in Computer Science
*

We show that the category of coalgebras of a wide-pullback

doi:10.1017/s0960129505004767
fatcat:obtyz3c2aver3a2mazt3ck6wei
*preserving*endofunctor on a category of presheaves is itself a category of presheaves. ... Furthermore, T A clearly*preserves*final objects. Thus T A*preserves*all small*limits*, since any small*limit*may be constructed*from*final objects and wide pullbacks. ... A wide-pullback*preserving*functor whose domain category is complete*preserves*all connected*limits*[1, Lemma 2.1]. It follows that T*preserves**limits*indexed by the chain ω op . ...##
###
Evidence supporting platform-switching to preserve marginal bone levels not definitive

2012
*
Evidence-Based Dentistry
*

Abstracted

doi:10.1038/sj.ebd.6400864
pmid:22722419
fatcat:cpwxzwtj6nfjpjhoassx3ibppi
*from*Atieh MA, Ibrahim HM, Atieh AH. Platform switching for marginal bone*preservation*around dental implants: a systematic review and meta-analysis. ...*Nature*Publishing Group (Macmillan Publishers*Limited*) does not grant permission for this article to be further copied/distributed or hosted elsewhere without the express permission*from**Nature*Publishing ...*Nature*Publishing Group (Macmillan Publishers*Limited*) does not grant permission for this article to be further copied/distributed or hosted elsewhere without the express permission*from**Nature*Publishing ...##
###
Algebra and local presentability: how algebraic are they? (A survey)

2017
*
Tbilisi Mathematical Journal
*

, λ-accessible functors

doi:10.1515/tmj-2017-0113
fatcat:7lvwu47hqbek7ob4cqnererava
*preserving**limits*, and*natural*transformations. ... Let CAT λ be the 2-category of all categories having λ-small*limits*, functors*preserving*λ-small*limits*, and*natural*transformations. ...##
###
The effect of the weather upon the quality of milk, and the use of preservatives

1904
*
Public Health
*

The subjects covered by these recommendations have

doi:10.1016/s0033-3506(04)80090-8
fatcat:dj45cphxfnfbpl2bl3jstun7xm
*naturally*been a good deal before us*from*our various points of view. ... specially designed to protect the farmer*from*any difficulty or injustice that might arise through what may be looked upon as*natural*variations. ...##
###
Recalls of microbiologically contaminated cosmetics in EU from 2005 to May 2008

2008
*
International Journal of Cosmetic Science
*

These studies highlighted the need for the incorporation of

doi:10.1111/j.1468-2494.2008.00475.x
pmid:19099548
fatcat:5md7h46o4jfvlj5wdkazscgeka
*preservatives*into water-based formulations along with improvements to manufacturing practices. ...*Natural*cosmetics require*natural**preservatives*and although there are some*natural*compounds listed in Annex V, such as the acids and formaldehyde, none are available as purified*naturally*occurring products ... , so a number of certifying bodies allow the use of*nature*identical*preservatives*to be used until a truly*natural*alternative can be found. ...##
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Limitations Imposed by some Water-borne Preservatives on the Soil Block Test Method for Timber

1959
*
Nature
*

*NATURE*October 31, 1959 vo1.. 1e4 were observed, and the chromosomes were clearly stained with acridine orange (Fig. 2) . These observations were not changed by washing the cells with saline. ... Using synthetic and

*natural*polynucleotides, Beers et al. have presented evidence that the phosphate groups of nucleic acid, particularly the terminal phosphates, are the site of attachment of acridine ... FORESTRY

*Limitations*Imposed by some Water-borne

*Preservatives*on the Soil Block Test Method for Timber WHEN loss of weight is used as the criterion for fungal attack of treated blocks of timber tested ...

##
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A functional characterization of Tor for noetherian rings of global dimension $1$

1968
*
Transactions of the American Mathematical Society
*

(a) v is exact and

doi:10.1090/s0002-9947-1968-0235012-0
fatcat:g73ycr64zvdrpene3zbczk6vu4
*preserves*right*limits*, (b) for any functor F: RM -*■ Ab, vF: RM -*■ Ab*preserves*direct*limits*, and for any*natural*transformation r¡: L-> F, where L : RM -*■ Ab*preserves*direct*limits*... Since C* (g>B*preserves*direct*limits*, we have a unique*natural*transformation X':C* ®R-^vhc for which 8hc ° A' = A. (2) X'R: C* <g>R R -+ vhc(R) is easily seen to be essentially the identity map on C* ...##
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Page 34 of Political Studies Vol. 30, Issue 1
[page]

1982
*
Political Studies
*

excluded

*from*the means necessary for one’s*preservation*. ... This is why the same law of*nature*that gives man a right to his self-*preservation*and hence a right to property, also sets a*limit*on that right. ...
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