Automates topologiques et ensembles reconnaissables

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1. [1] Ginzburg ( A.). - Algebraic theory of automata. - New York, London, Academic Press, 1968. Zbl0195.02501MR242679
2. [2] Arbib ( M.A.) [Editor]. - Algebraic theory of machines, languages, and semigroups. - New York, London, Academic Press, 1968. Zbl0181.01501MR232875
3. [3] Berge ( C.). - Espaces topologiques. 2e édition. - Paris, Dunod, 1966 (Collection universitaire de Mathématiques, 3). Zbl0164.52902
4. [4] Böhling ( K.H.), Indermark ( K.). - Endliche Automaten, I, BI-Hochschulskripten, Band 703, Mannheim, Zürich, 1969. Zbl0193.32703MR267981
5. [5] Brauer ( W.). - Zu den Grundlagen einer Theorie topologischer sequentieller Systeme und Automaten, Ber. Ges. Math. und Datenverarb., Bonn, n° 31, 1970. Zbl0216.56503MR266694
6. [6] Bourbaki ( N.). - Topologie générale. - Paris, Hermann. - Chap. 1-2, 4e édition, 1965 ; Chap. 9, 2e édition, 1958 ; Chap. 10, 2e édition, 1961 (Act. scient. et ind., 1045, 1084, 1142 ; Bourbaki, 2, 8, 10). 
7. [7] Bednarek ( A.R.), Wallace ( A.D.). - Finite approximants of totally disconnected machines, Math. Systems Theory, t. 1, 1967, p. 209-216. Zbl0174.02903MR222869
8. [8] Christoh ( F.T.). - Decompositions of topological semigroups and topological groups, and various covering properties, Dissertation Abstracts International, Series B, Vol. 30, n° 7, Order n° 70-585, p. 3271-B (Dissertation Rutgers University, 1969). 
9. [9] De Korvin ( A.). - Approximation theorems on some classes of automata, SIAM J. of Control, t. 6, 1968, p. 422-436. Zbl0172.30102MR258537
10. [10] Gottschalk ( W.H.), Hedlund ( G.A.). - Topological dynamics. - Providence, American mathematical Society, 1955 (American mathematical Society, Colloquium Publications, 36). Zbl0067.15204MR74810
11. [11] Gottschalk ( W.H.). - Minimal sets : An introduction to topological dynamics, Bull. Amer. math. Soc., t. 64, 1958, p. 336-351. Zbl0085.17401MR100048
12. [12] Hahn ( H.). - Reelle Funktionen, I. - Leipzig, Akademische Verlagsgesellschaft, 1932 (Mathematik und ihre Anwendungen in Monographien und Lehrbüchern, 13). Zbl0005.38903JFM58.0242.05
13. [13] Herrlich ( H.). - Topologische Reflexionen und Coreflexionen. - Berlin, Heidelberg, New York, Springer-Verlag, 1968 (Lecture Notes in Mathematics, 78). Zbl0182.25302MR256332
14. [14] Hoemann ( K.H.), Mostert ( P.S.). - Elements of compact semigroups. - Columbus (Ohio), Merrill Books, 1966. Zbl0161.01901MR209387
15. [15] Hansard ( J.D.). - Function spaces : A study of the graph topology, the connected-open topology, the σ-topology, and the topology of uniform convergence, Dissertation Abstracts International, Series B, Vol. 30, n° 7, Order n° 70-415, p. 3276-B (Dissertation University of Kansas, Lawrence, 1969). 
16. [16] Michael ( E.). - Topologies on spaces of subsets, Trans. Amer. math. Soc., t. 71, 1951, p. 152-182. Zbl0043.37902MR42109
17. [17] Perrot ( J.-P.). - Sur la théorie algébrique des automates finis monogènes (à paraître). 
18. [18] Rhodes ( J.). - Algebraic theory of finite semigroups : Structure numbers and structure theorems for finite semigroups, in Semigroups, Proceedings of a Symposium on semigroups [1968. Detroit], p. 125-162. - New York, Academic Press, 1969. Zbl0223.20070MR281817
19. [19] Ginsburg ( S.). - Some remarks on abstract machines, Trans. Amer. math. Soc., t. 96, 1960, p. 400-444. Zbl0097.00501
20. [20] Šreider ( Ju.A.). - Automata and the problem of dynamic programming, Problems of Cybernetics, t. 5, 1964, p. 33-58 ; [en russe], Problemy kibernetiki, 1961. [21] Vietoris ( L.). - Bereiche zweiter Ordnung, Monatsh. für Math., t. 32, 1922, p. 258-280. [22] Wallace ( A.D.). - Recent results on binary topological algebra, in Semigroups, Proceedings of a Symposium on semigroups [1968. Detroit], p. 261-267. - New York, Academic Press, 1969. 

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