0430 Aggregates 



Function with symmetries in every interval. 



Kopcke, A. [1896] Hamb. Mth. Gs. Mt. 3 



(1900) 258-. 

 Functions and aggregates, theory. Levi, B. 



Em. E. Ac. Line. Ed. 9 (1900) (Sem. 2) 72-. 



capable of graphic representation and 

 differentiation. Kopcke, A. Hamb. Mth. 

 Gs. Mt. 1 (1889) 128-. 



discontinuous in every interval. Peano, G. 

 Ev. Mt. 2 (1892) 41-. 



oscillating in every interval, theorem. 

 Kopcke, A. [1899] Hamb. Mth. Gs. Mt. 3 

 (1900) 376-. 



Infinite numbers, various opinions. Cantor, 

 G. Stockh. Ak. Hndl. Bh. 11 (1887) No. 19, 

 10pp. 



, , Cantor's article. Enestrom, G. 



Stockh. Ofv. (1885) No. 10, 69-. 



series, convergence conditions. Giudice, . 

 Palermo Cir. Mt. Ed. 4 (1890) 275-, 276-, 

 278-, 279-, 280-, 281-, 283-. 



Infinitesimal constant segments, impossibility. 

 Peano, G. Ev. Mt. 2 (1892) 58-. 



segments, remarks on a demonstration. 

 Veronese, G. Palermo Cir. Mt. Ed. 6 (1892) 

 73-. 



Integrability of ordinary differential equations. 



Arzela, C. Bologna Ac. Sc. Mm. 5 (1895- 



96) 257-. 

 Integrals of ordinary differential equations, 



existence of. Arzela, C. Bologna Ac. Sc. 



Mm. 6 (1896-97) 131-. 

 Limit, existence for regular sequences of 



rational numbers. Chessin, A. S. J. H. 



Un. Cir. [15 (1895-96)] 37-. 



of variable classes. Burali-Forti, C. Tor. 

 Ac. Sc. At. 30 (1895) 227-. 



Limiting value of quotient series. Broden, T. 



[1897] Stockh. Ak. Hndl. Bh. 23 (Afd. 1) 



(1898) No. 2, 49 pp. 

 Linear manifoldness in n dimensions. Amodeo, 



F. Ev. Mt. 2 (1892) 145-. 

 Lines composed of rectilinear parts. Grave, D. 



C. E. 127 (1898) 1005-. 



Number, role of, in geometry. Calinon, A. 



[1900] N. Y. Am. Mth. S. Bll. 7 (1901) 158, 



178-. 

 Ordered classes and transfinite numbers. 



Burali-Forti, C. Palermo Cir. Mt. Ed. 8 



(1894) 169-. 



types, theory. Vivanti, G. A. Mt. 17 

 (1889-90) 1-. 



Perfect aggregates. Vivanti, G. Palermo Cir. 



Mt. Ed. 13 (1899) 86-. 

 Point-aggregate, doubly extended, determination 



of all groups. Lie, M. S. Arch. Mth. Ntvd. 



3 (1878) 93-. 



aggregates. Phragmen, E. Stockh. Ofv. 



(1884) No. 1, 121-. 



, contents of. Harnack, A. Mth. A. 25 



(1885) 241-. 



, development of theory. Schoenfiies, A. 



D. Mth. Vr. Jbr. 8 (1900) (Heft 2) vi + 251 pp. 

 , infinite, linear. Cantor, G. Mth. A. 



15 (1879) 1-; 17 (1880) 355-; 20 (1882) 

 113- ; 21 (1883) 51-, 545-. 



, limiting values. Stolz, 0. Mth. A. 23 



(1884) 152-. 



Universal Algebra 0800 



Point aggregates, perfect, power of. Cantor, 



G. Acta Mth. 4 (1884) 381-. 

 , , . Bendixson, I. Stockh. Ak. 



Hndl. Bh. 9 (1884-85) tfo. 6, 15 



in a plane. 



(Mth.-Nt.) 176-. 



in a plane. Lerc'h, M. Prag Sb. (1884) 



in space of n dimensions, theory. Cantor, 



G. Acta Mth. 7 (1885) 105-. 

 , theorems. Bendixson, I. Acta Mth. 2 



(1883) 415-. 

 Popular account of new fields of mathematics. 



Miller, G. A. Science 11 (1900) 528-. 

 Quadratic aggregates in higher space. Sommer, 



J. D. Mth. Vr. Jbr. 8 (1900) (Heft 1) 193-. 

 Eepresentation, uniform and continuous, of 



aggregates of different dimensions upon one 



another. Liiroth, J. Erlang. Ps. Md. S. 



Sb. 10 (1878) 190-. 

 Segments and transfinite numbers. Veronese, 



G. Em. E. Ac. Line. Ed. 7 (1898) (Sem. 1) 



79-. 

 Series, positive terms, partial sums forming 



continuum. Bettazzi, E. Tor. Ac. Sc. At. 



33 (1897) 199- or 355-. 

 Subfinite and transfinite numbers from Cantor's 



point of view. Giudice, . Palermo Cir. 



Mt. Ed. 6 (1892) 161-. 

 Successions. Giudice, . Palermo Cir. Mt. 



Ed. 5 (1891) 280-. 

 Surfaces, general theory, extension to theory 



of aggregates. Mahler, . D. Nf. Tbl. 



(*1882) 147-. 

 Transfinite magnitudes, class of. Janssen van 



Raay, W. H. L. G. Mt. 32 (1894) 1- ; 33 



(1895) 329-, 360. 

 , theory. Cantor, G. Mth. A. 46 (1895) 



481- ; 49(1897)207-. 



numbers. Cantor, G. Ev. Mt. 5 (1895) 104-. 



. Stolz, 0. Ev. Mt. 5 (1895) 166-. 



. Killing, W. Mth. A. 48 (1897) 425-. 



. Levi-Civita, T. Em. E. Ac. Line. Ed. 



7 (1898) (Sem. 1) 91-, 113-. 



, Archimedes' axiom and projective 

 geometry. Schonfiies, A. D. Mth. Vr. Jbr. 

 5 (1901) (Heft 1) 75-. 



, question on. Burali-Forti, C. Palermo 



Cir. Mt. Ed. 11 (1897) 154-, 260. 



, Veronese's. ScMenflies, A. Em. E. 

 Ac. Line. Ed. 6 (1897) (Sem. 2) 362-. 



Weierstrass-Cantor condensation process. 

 Broden, T. Stockh. Ofv. (1896) 583-. 



Universal Algebra. 

 0800 General. 



Algebra, foundation ; triple algebra. DeMorgan, 

 A. (ix) [1844] Camb. Ph. S. P. 1 (1866) 13-. 



, notion and boundaries. Cayley, A. QJ. 

 Mth. 6 (1864) 382-. 



, principles, fundamental. Macfarlane, A. 

 Am. As. P. (1899) 21-. 



as science of pure time. Hamilton, (Sir) 

 W. R. [1835] Ir. Ac. T. 17 (1837) 293-. 



Algebraic operations, philosophic deduction. 

 Valente do Couto, M. Lisb. Mm. Ac. Sc. 3 

 (pte. 2) (1814) 149-. 



50 



