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