@incollection{,
	
					
					
					78DE027514D9D835BB9DCE003249C2D2
					10.1007/s10884-020-09910-y
					arXiv:1407.1345v1[mathGT]
				,
	author={{GabrielKatz}},
	journal={{Global Journal of Science Frontier Research}},
	journal={{GJSFR}}2249-46260975-589610.34257/GJSFR,
	address={Cambridge, United States},
	publisher={Global Journals Organisation}232114
}

@incollection{b0,
	
	
		,
	title={{Indeed, the subalgebras C ? (? 1 X, v) and (f ? ) * (C ? (R)) would acquire a description in terms of C v and f ? . This would deliver an independent proof of a natural generalization of Corollary 2}}
	
	
		,
	booktitle={{drop Property A from the hypotheses of the Holography Theorem}}
				
	
	,
	note={.1. Acknowledgments: Notes}

}

@incollection{b1,
	
	
		,
	title={{The Stone-Weierstrass theorem}}
		,
	author={{
			LLouis De Branges
		}}
	
	
		,
	journal={{Proc. Amer. Math. Soc}}
		
			10
			5
			
			,
	year={1959}
		
	

}

@book{b2,
	
	
		,
	author={{
			LChen
		} and {
			KMann
		}}
		
		arXiv:1902.05117v3
		,
	title={{Structure Theorems for Actions of Homeomorphism Groups}}
				
			,
	year={9 Aug 2020}
		
	
	,
	note={math.GT}

}

@book{b3,
	
	
		,
	title={{Treatise on Analysis}}
		,
	author={{
			JDieudonné
		}}
		MR 0350769
		
			,
	year={1972}
			,
	publisher={Academic Press, Inc}
			3
			,
	address={New York-London}
		
	

}

@book{b4,
	
	
		,
	author={{
			NDs] Dunford
		} and {
			JTSchwartz
		} and {
			LinearOperators
		}}
		
		
		,
	title={{General Theory}}
				New York, London
		
			,
	publisher={Interscience}
			,
	year={1958}
			1
		
	

}

@book{b5,
	
	
		,
	title={{Uniform Algebras, Prentice-Hall Series in Modern Analysis}}
		,
	author={{
			TWGamelin
		}}
		
			,
	year={1969}
			,
	publisher={Prentice-Hall, Inc. En-glewood Cliffs, N.J}
		
	

}

@book{b6,
	
	
		,
	author={{
			IGelfand
		} and {
			DRaikov
		} and {
			GShilov
		}}
		
		
		,
	title={{Commutative Normed Rings (Russian), State Publishing House of Physics-Mathematics Literature}}
				Moscow
		
			,
	year={1960}
		
	

}

@book{b7,
	
	
		,
	author={{
			AGrothendieck
		}}
		,
	title={{Produits tensoriels topologiques et espaces nucléaires}}
				French), Providence
		
			,
	publisher={American Mathematical Society}
			,
	year={1966}
		
	

}

@incollection{b8,
	
	
		,
	title={{Traversally Generic & Versal Flows: Semi-algebraic Models of Tangency to the Boundary}}
		,
	author={{
			GKatz
		}}
		arXiv:1407.1345v1
	
	
		,
	journal={{Asian J. of Math}}
		
			21
			1
			
			,
	year={2017}
		
	

}

@incollection{b9,
	
	
		,
	title={{Causal Holography in Application to the Inverse Scattering Problem}}
		,
	author={{
			GKatz
		}}
		arXiv:1703.08874v1
	
	
		,
	journal={{Inverse Problems and Imaging J}}
		
			13
			3
			27
			,
	year={June 2019. Mar 2017}
		
	
	,
	note={Math.GT}

}

@incollection{b10,
	
	
		,
	title={{Morse Theory of Gradient Flows}}
		,
	author={{
			GKatz
		}}
	
	
		,
	booktitle={{Concavity, and Complexity on Manifolds with Boundary}}
				
			,
	publisher={World Scientific}
			,
	year={2019}
		
	

}

@incollection{b11,
	
	
		,
	title={{Causal Holography of Traversing Flows}}
		,
	author={{
			GKatz
		}}
		10.1007/s10884-020-09910-y
		
	
	
		,
	journal={{Journal of Dynamics and Differential Equations}}
		
			,
	year={2020}
		
	

}

@book{b12,
	
	
		,
	title={{Holography of geodesic ows, harmonizing metrics, and billiards' dynamics}}
		,
	author={{
			GKatz
		}}
		arXiv:2003.10501v2
		
			,
	year={1 Apr 2020}
		
	
	,
	note={math.DS}

}

@incollection{b13,
	
	
		,
	title={{Characters of Algebras of Smooth Functions}}
		,
	author={{
			AKriegl
		} and {
			PMichhor
		} and {
			WSchachermayer
		}}
		
		
	
	
		,
	journal={{Ann. Global Anal. Geom}}
		
			7
			2
			
			,
	year={1989}
		
	

}

@incollection{b14,
	
	
		,
	title={{Scattering Theory}}
		,
	author={{
			PLax
		} and {
			RPhillips
		}}
		
	
	
		,
	booktitle={{Melrose, R. Geometric Scattering Theory}}
				Amsterdam; Cambridge
		
			,
	publisher={Cambridge University Press}
			,
	year={1967. 1995}
		
	

}

@incollection{b15,
	
	
		,
	title={{On isomorphisms of algebras of smooth functions}}
		,
	author={{
			JMrcun
		}}
	
	
		,
	booktitle={{Proceedings of AMS}}
		
			133
			10
			
			,
	year={2005}
		
	

}

@incollection{b16,
	
	
		,
	title={{Singular points of vector fields under general boundary conditions}}
		,
	author={{
			MMorse
		}}
	
	
		,
	journal={{Amer. J. Math}}
		
			51
			
			,
	year={1929}
		
	

}

@incollection{b17,
	
	
		,
	title={{Sur les algèbres denses de fonctions differentiables sur une variètè}}
		,
	author={{
			LNachbin
		}}
	
	
		,
	journal={{C.R. Acad. Sci. Paris}}
		
			228
			
			,
	year={1949}
		
	

}

@book{b18,
	
	
		,
	title={{Geometric Integration Theory}}
		,
	author={{
			HWhitney
		}}
		
			,
	year={1957}
			,
	publisher={Princeton University Press}
			,
	address={Princeton, New Jersey}
		
	

}