Samuel Eilenberg Papers, 1902-1996

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Series III: Math Notes, Writings, and Correspondence, 1930-1994

This series contains Eilenberg's math notes and writings—a great many of which he left undated—and his math-related correspondence, a good deal of which is dated, at least in part. The series primarily includes: Eilenberg's hand-written math notes; what seem to be drafts or revisions of chapters of math books he authored or co-authored; photo-copies of math notes, chapter drafts, or revisions, often hand-annotated; correspondence with fellow-mathematicians about math questions or their joint efforts; possible lecture or class notes; copies of math papers or articles that Eilenberg filed in with his own notes (and which have been left in with his writings to preserve original order, as well as for the light they potentially shed on the genesis of his math work). Although most of the material in this series is in English, Eilenberg's student notebook is in Polish (Box 4, Folder 7), and other material is in French and German. Apart from Eilenberg's dated Polish notebook (1930-34), which fittingly begins the series, the rest of these mostly undated math notes and book chapters is organized by topic: the more substantial book chapters, revisions, and outlines are followed by a number of folders on various math topics, lecture or class notes, articles by Eilenberg, and math correspondence, respectively.

The chapter drafts and revisions from various Eilenberg books form the largest portion of this series (Box 4, Folders 8-28; Box 5, Folders 1-27). Among the chapters themselves, the largest group appears to be connected with two volumes on General and Categorical Topology, works upon which Eilenberg collaborated with Eldon Dyer, but not published until 2000 by Cambridge University Press, two years after Eilenberg's death (Box 4, Folders 27-28; Box 5, Folders 1-27). The series also contains quite a bit of correspondence with Dyer, other book-related notes, and some of Dyer's own writings on the topic, some of which is dated (Box 6, Folders 1-6). This material thus documents one of in a series of "collaborations" with other mathematicians for which Eilenberg was renowned by other mathematicians.



Box 4 Folder 7 Math Notebook, 1930-1934


Box 4 Folder 8 Algebraic Topology Book Outline and Revision Notes, undated


Box 4 Folder 9-11 Universal Algebra Chapters 1-2, undated, 3 folders


Algebra Book


Box 4 Folder 12-15 Outline and Chapters 1-4, undated, 4 folders


Box 4 Folder 16 Chapters and Correspondence, 1968


Box 4 Folder 17 Dyck Set Theorems, undated

(Chapter 12)


Box 4 Folder 18 Algebra Reserve Notes and Correspondence, 1971



Box 9 Algebra, Topology, and Category Theory, 1976

(Collection of Papers in Honor of Samuel Eilenberg, edd. Alex Heller and Myles Tierney. Academic Press, New York, 1976 (2 copies, one specially bound in gilt-stamped leather))


Advanced Homot



Box 4 Folder 19 Chapter 9: Function Pi, undated


Box 4 Folder 20 Chapter 10, undated


Box 4 Folder 21 And James Const., undated


Automata


Box 4 Folder 22 Notes, undated


Box 4 Folder 23 Turing Machines Notes, 1968


Box 4 Folder 24 Machines Languages and Grammars, undated


Box 4 Folder 25 Turing Machines Notes and Correspondence, 1969


Box 4 Folder 26 Chapter Revisions, undated



Box 9 Automata, Languages & Machines, 1974, 2 Volumes

(Academic Press, New York)


Topology Book



Box 4 Folder 27 TOC, Index and Chapter 1, undated


Box 4 Folder 28 Chapter 2: Topological Spaces, undated



Box 5 Folder 1 Chapter 3: Basic Structures, undated


Box 5 Folder 2 Chapters 4-5: Connectedness . . . Compactness . . ., undated


Box 5 Folder 3 Chapters 7-8: Groups and Group-Actions, undated


Box 5 Folder 4 Revision Notes, undated


Box 5 Folder 5 Chapters 1-3: Category Theory, undated


Box 5 Folder 6 Chapters 4-6: Category Theory II, undated


Box 5 Folder 7 Chapters 8-9: Cellular Spaces, undated


Box 5 Folder 8 Chapter 1: Topological Spaces, undated


Box 5 Folder 9-10 Chapter 1: Groupoids, undated, 2 folders


Box 5 Folder 11 Chapter 3: Category W, undated


Box 5 Folder 12-15 Chapters 1-4: Fibrations, undated, 4 folders


Box 5 Folder 16-17 Chapter 4: Cubes and Mixing Theorems, undated, 2 folders


Box 5 Folder 18 Chapter 1: Homotopy Theory, undated


Coverings and Pseudo-Coverings


Box 5 Folder 19 Chapter 3, undated


Box 5 Folder 20-21 Chapter 4, undated, 2 folders


Box 5 Folder 22 Chapter 4: Coreflective Subcategories, undated


Box 5 Folder 23 Chapters 6-7: Homotopy, Algebraic Structures, undated


Box 5 Folder 24 Chapter 7: Fiber Homotopy Equivalence, undated


Box 5 Folder 25 Chapters 8-9: Fibrations, Homotopy Groups, undated


Box 5 Folder 26 Chapters 10, 12, 16: Co-Fribations, undated


Box 5 Folder 27 General Topology Revisions, undated



Box 6 Folder 1 Topology Book Notes and Correspondence, 1966-1982

(Eldon Dyer)


Box 6 Folder 2 Cellular Spaces Topology Book Notes and Correspondence, 1983-1991

(Eldon Dyer)


Box 6 Folder 3 Dyer-Eilenberg Topology Book Notes, undated


Box 6 Folder 4 Dyer-Eilenberg Bundles Notes, undated


Box 6 Folder 5 Topology Book "Eldon's Bundle Ms", undated


Box 6 Folder 6 Cohomology Theories, undated

(Eldon Dyer)


Box 6 Folder 7 Appearance Matrix Notes, undated


Box 6 Folder 8 Bass-Serre Notes, undated


Box 6 Folder 9 Cartesian Closure, undated


Box 6 Folder 10 Categories and Groupoids, undated


Box 6 Folder 11 The Category O, undated


Box 6 Folder 12-13 Category Melange, undated, 2 folders


Box 6 Folder 14 Closure Principles Notes and Correspondence, undated



Box 9 Collected Papers of Samuel Eilenberg & Sanders MacLane: 1941-1955, undated

(Private binding of co-authored math papers previously printed in Transactions of the American Mathematical Society)



Box 6 Folder 15 Computation Algorithm, undated


Box 6 Folder 16 Factorization and Groups, undated


Box 6 Folder 17 Fibrations, 1982


Box 6 Folder 18 Fibrations and Cofibrations, undated


Box 6 Folder 19 Fixed Point Theorem, undated



Box 9 Foundations of Algebraic Topology, undated

(with Norman Steenrod, Princeton University Press)


Fridge



Box 6 Folder 20 Notes, undated


Box 6 Folder 21-22 Vol. A Notes and Correspondence, 1969-1970, 2 folders


Box 6 Folder 23 Fridge - B Notes, undated


Box 6 Folder 24 Function Space Problem, undated


Box 6 Folder 25 Highman, undated



Box 9 Homological Algebra, 1956

(with Henri Cartan, Princeton Mathematical Series)



Box 6 Folder 26 Linear Theories, undated


Box 6 Folder 27 M-Complex, undated


Box 6 Folder 28 Manifolds, undated


Box 6 Folder 29-30 Orders of Growth, undated, 2 folders


Box 6 Folder 31 Playing with Cubes, undated



Box 9 Samuel Eilenberg: Papers, 1933-1948, 3 Volumes

(Private binding of math papers previously printed in various math journals from 1933-1948)



Box 6 Folder 32 Simplical Approximation Theorem: Notes and Articles, 1988


Box 6 Folder 33 Smooth Spaces, undated


Box 6 Folder 34 Topology, undated



Box 7 Folder 1 Topology, undated


Box 7 Folder 2 Topological Categories, undated


Box 7 Folder 3 Math Notes, undated


Box 7 Folder 4 Remarks, 1982 April 15


Box 7 Folder 5 Remarks of Fibrations, undated


Box 7 Folder 6 Remarks on Basal, undated


Box 7 Folder 7 1st Class S.E., undated


Box 7 Folder 8 Cartesian Spheres: Article and Correspondence, 1985-1986


Box 7 Folder 9 Fibrations Articles and Notes, 1988


Box 7 Folder 10 Normal Forms Article Draft, undated


Box 7 Folder 11 Karol Borsuk Article, 1992


Box 7 Folder 12 Book Proposal and Correspondence: Collected Works of Witold Huzewiz, 1991


Box 7 Folder 13 Math Correspondence with Henri Cartan/Jean Berstel, 1965-1971


Math Correspondence and Articles


Box 7 Folder 14 Ross Street, 1980-1991


Box 7 Folder 15-16 Bret Tilson, 1984-1985, 2 folders


Correspondence


Box 7 Folder 17 With Other Math Colleagues, 1977-1994


Box 7 Folder 18 On Math Conferences and Symposia, 1981-1994


Box 7 Folder 19 With Math Book Publisher, 1991


Box 7 Folder 20 National Academy of Science Correspondence and Article on Anti-Semitism, 1992