By Hémery C Lebossé C.

Manuel de mathématiques, niveau sixième. Cet ouvrage fait partie de l. a. assortment Lebossé-Hémery dont les manuels furent à l’enseignement des mathématiques ce que le Bled et le Bescherelle furent à celui du français.

Show description

Read Online or Download Arithmétique et travaux pratiques - Classe de sixième PDF

Best mathematics_1 books

A Course of Higher Mathematics: International Series of Monographs in Pure and Applied Mathematics, Volume 62

Overseas sequence of Monographs in natural and utilized arithmetic, quantity sixty two: A process better arithmetic, V: Integration and practical research makes a speciality of the speculation of services. The booklet first discusses the Stieltjes indispensable. matters contain units and their powers, Darboux sums, fallacious Stieltjes necessary, bounce services, Helly’s theorem, and choice rules.

Additional info for Arithmétique et travaux pratiques - Classe de sixième

Example text

Soc. 71 (1951), p . 161. , p . 164. (3) Theorem of A. Pelczynski. See A remark on spaces 2X for zero-dimensional 3C, Bull. Polish Acad. Sei. 13 (1965), p . 85. (4) This problem was raised by V. Ponomarev. See A new space of closed subsets and multivalued mappings of bicompact spaces (Russian), Matem. Sb. 48 (1959), p . 195. § 42, il] THE SPACE 47 2X E e m a r k 3. Let us denote, for an arbitrary topological space X, by V(X) the set of all compact subsets of X. Since

2*-P = EW\/[(F F Tî. )]. Consequently 2X—P is an F^-set. F x 3a (*). Zetf X be compact metric. Then the family of all countable closed subsets of X is of protective class CA in 2X. Proof. Denote by U the family of all uncountable closed subsets of X. Since each FeU contains a perfect non-void subset (by the Theorem of Cantor-Bendixson, see § 32, V), we have COROLLARY U = EV(0 F K ΦΚ a By Theorem 3, the set JT(0 φΚ FK F){K*P). c F)(KeP) is GÔ. Hence U, as a projection of a G0-set, is an analytic set (see § 38, I).

20 (1933), p . 252. § 41, v u ] COMPACTNESS 31 of %Ί onto &2J and of 9C2 o n *° &11 w ^ h point inverses as small as we wish. In other terms, if for each ε > 0 there are two continuous mappings onto, fx: %Ί -> X2 a n d Λ· &2 ~> %Ί> such that df < ε and èh

Download PDF sample

Download Arithmétique et travaux pratiques - Classe de sixième by Hémery C Lebossé C. PDF
Rated 4.68 of 5 – based on 22 votes