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Limit Preservation from Naturality

Mario Caccamo, Glynn Winskel
2005 Electronical Notes in Theoretical Computer Science  
A functor G : C → D is said to 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.  ... 
doi:10.1016/j.entcs.2004.06.048 fatcat:wnnsmygmnbgfxob2atxfydr3fa

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.  ... 

Land use limitations: environmental and socioeconomic impacts

Olga Petrakovska, Mariia Mykhalova
2020 Baltic Surveying  
Land use 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.  ... 
doi:10.22616/j.balticsurveying.2020.vol13.007 fatcat:re3mgbzohjgvvkghhtzn7gvkri

The world as a garden: a philosophical analysis of natural capital in economics

C. Tyler DesRoches
2015 Erasmus Journal for Philosophy and Economics  
Chapter five, "No One Can Preserve Nature", begins by recognizing a corollary of the garden image of nature.  ...  intentional human agency; therefore, no one can preserve (or restore) nature.  ... 
doi:10.23941/ejpe.v8i2.207 fatcat:cxnhjoxgpzd3ri266vpqib4oji

Duality and contravariant functors in the representation theory of artin algebras [article]

Samuel Dean
2017 arXiv   pre-print
An additive functor G:(R-Mod)^op→Ab 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.  ... 
arXiv:1603.05863v3 fatcat:3yrhm55nibgyjgipbv4j6nr4su

Duality and contravariant functors in the representation theory of artin algebras

Samuel Dean
2018 Journal of Algebra and its Applications  
An additive functor G : (R-Mod) op → Ab 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.  ... 
doi:10.1142/s0219498819501111 fatcat:wyilqsmqafh4lazhsdolik4xzi

A Note on Coalgebras and Presheaves

James Worrell
2002 Electronical Notes in Theoretical Computer Science  
We show that the category of coalgebras of a wide-pullback 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 .  ... 
doi:10.1016/s1571-0661(04)80373-6 fatcat:oa6aup3drbgonjekwencswadhm

A note on coalgebras and presheaves

JAMES WORRELL
2005 Mathematical Structures in Computer Science  
We show that the category of coalgebras of a wide-pullback 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 .  ... 
doi:10.1017/s0960129505004767 fatcat:obtyz3c2aver3a2mazt3ck6wei

Evidence supporting platform-switching to preserve marginal bone levels not definitive

Gary L Stafford
2012 Evidence-Based Dentistry  
Abstracted 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  ... 
doi:10.1038/sj.ebd.6400864 pmid:22722419 fatcat:cpwxzwtj6nfjpjhoassx3ibppi

Algebra and local presentability: how algebraic are they? (A survey)

Jiří Adámek, Jiří Rosický
2017 Tbilisi Mathematical Journal  
, λ-accessible functors 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.  ... 
doi:10.1515/tmj-2017-0113 fatcat:7lvwu47hqbek7ob4cqnererava

The effect of the weather upon the quality of milk, and the use of preservatives

Bernard Dyer, T.S. Dymond, J.C. Thresh
1904 Public Health  
The subjects covered by these recommendations have 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.  ... 
doi:10.1016/s0033-3506(04)80090-8 fatcat:dj45cphxfnfbpl2bl3jstun7xm

Recalls of microbiologically contaminated cosmetics in EU from 2005 to May 2008

M. D. Lundov, C. Zachariae
2008 International Journal of Cosmetic Science  
These studies highlighted the need for the incorporation of 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.  ... 
doi:10.1111/j.1468-2494.2008.00475.x pmid:19099548 fatcat:5md7h46o4jfvlj5wdkazscgeka

Limitations Imposed by some Water-borne Preservatives on the Soil Block Test Method for Timber

A. J. McQUIRE
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  ... 
doi:10.1038/1841430a0 fatcat:yxezkkfpgnep7dv5ykjf472lve

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

David Newell
1968 Transactions of the American Mathematical Society  
(a) v is exact and 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*  ... 
doi:10.1090/s0002-9947-1968-0235012-0 fatcat:g73ycr64zvdrpene3zbczk6vu4

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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