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Algebraic topology

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• Topology

• Algebraic topology -- Congresses
• Algebraic topology -- Periodicals
• Acyclic models
• Cohomology operations
• Fiber spaces (Mathematics)
• Homology theory
• Hopf algebras
• K-theory
• Low-dimensional topology
• Measure theory
• Obstruction theory
• Spectral sequences (Mathematics)

• Algebraic Topology (c2002), by Allen Hatcher (PDF files with commentary at Cornell)
• Modern Algebraic Topology (New York, Macmillan; London: Collier-Macmillan, c1963), by D. G. Bourgin (page images at HathiTrust)
• A Concise Course in Algebraic Topology (electronic edition, with errata corrected), by J. Peter May (PDF at Chicago)
• The extension algebras of a completely regular space. (Columbia University, Dept. of Mathematics, 1962), by John C. Taylor and Columbia University. Department of Mathematics (page images at HathiTrust)
• Rings, modules and homology, Chapters I and II. (Brandeis University, 1960), by Maurice Auslander and Judith Donovan Sally (page images at HathiTrust)
• The topological algebra seminar notes : topologies in normed linear spaces, rings of operators and the commutant of the commutant, applications of the spectral theorum. (University of Chicago, Dept. of Mathematics, 1951), by Paul R. Halmos (page images at HathiTrust)
• On the structure of Hopf algebras ([Princeton? N. J., 1961), by John W. Milnor and John Coleman Moore (page images at HathiTrust)
• Algebraic local invariants of topological spaces (Mathematics Division, Air Force Office of Scientific Research, 1958), by S. T. Hu (page images at HathiTrust; US access only)
• Mathematics 281: algebraic topology I (Dept. of Mathematics, University of Chicago, 1955), by Edwin Henry Spanier and Guido L. Weiss (page images at HathiTrust; US access only)
• The torsion pontryagin classes (Washington, D.C. : Mathematics Division, Air Force Office of Scientific Research, ARDC, 1961., 1961), by Emery Thomas, United States. Air Force. Office of Scientific Research, and Berkeley University of California (page images at HathiTrust)
• On the homotopy groups of the classical groups (Princeton, New Jersey : Princeton University, [1961]., 1961), by Bruno Harris, United States. Air Force. Office of Scientific Research, and Princeton University (page images at HathiTrust)
• Curvature properties of teichmuller's space (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Lars V. Ahlfors, United States. Air Force. Office of Scientific Research, and Harvard University (page images at HathiTrust)
• Complex vector bundles over an algrabric curve (Washington D. C. : Office of Scientific Research, U.S. Air Force, 1956., 1954), by Shigeo Nakano, N.J.) Institute for Advanced Study (Princeton, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• An algebra of additive relations (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Saunders Mac Lane, United States. Air Force. Office of Scientific Research, and University of Chicago. Department of Mathematics (page images at HathiTrust)
• Technical note (Charlottesville, Virginia : Department of Mathematics, University of Virginia, 1957-, 1957), by P. E. Conner, Gordon Thomas Whyburn, Marvin Rosenblum, Paul McDougle, John Greever, E. E. Floyd, University of Virginia. Department of Mathematics, United States. Air Force. Office of Scientific Research, and United States. Air Force. Air Research and Development Command (page images at HathiTrust; US access only)
• On a theorem of Yano and Nagano (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by S. I. Goldberg, United States. Air Force. Office of Scientific Research, and Wayne State University (page images at HathiTrust)
• On functional cup-products and the transgression operator (Washington, D.C. : Mathematics Division, Air Force of Scientific Research, ARDC, 1961., 1961), by Emery Thomas, United States. Air Force. Office of Scientific Research, and Berkeley University of California (page images at HathiTrust)
• Regularized set operations (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by A. Brown, United States. Air Force. Office of Scientific Research, and Rice University (page images at HathiTrust)
• On stability of compact submanifolds of complex manifolds (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Kunihiko Kodaira, United States. Air Force. Office of Scientific Research, and N.J.) Institute for Advanced Study (Princeton (page images at HathiTrust)
• Fiberings of enveloping spaces, II (Washington, D.C. : Mathematics Directorate, Air Force Office of Scientific Research, 1961., 1961), by S. T. Hu, United States. Air Force. Office of Scientific Research, and Wayne State University (page images at HathiTrust)
• The Absolute continuity of Toeplitz's matrices (Washington D. C. : Office of Scientific Research, U.S. Air Force, 1959., 1959), by Marvin Rosenblum, University of Virginia, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On the Geometric character of singularity manifolds for harmonic functions in three variables : I (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, 1961., 1961), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Harmonic functions in four variables with algebraic and rational p4 associates (College Park, Maryland : University of Maryland, Institute for Fluid Dynamics and Applied Mathematics, 1962., 1962), by Robert P. Gilbert, College Park. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Fiberings of enveloping spaces (Washington, D.C. : Mathematics Directorate, Air Force Office of Scientific Research, 1960., 1960), by S. T. Hu, United States. Air Force. Office of Scientific Research, and Wayne State University (page images at HathiTrust)
• Algebraic topology II; lectures by Edwin H. Spanier, notes by Edward Halpern. (Dept. of Mathematics, University of Chicago, 1955), by Edwin Henry Spanier, Edward Halpern, and Guido Weiss (page images at HathiTrust; US access only)

• Algebraic and Geometric Topology (proceedings of a 1983 conference at Rutgers; published 1984), ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)

• Algebraic and Geometric Topology (issues more than 5 years old free to read online) (partial serial archives)
• Journal of Algebraic Systems (2013-) (partial serial archives)

• Acyclic continua in the plane and quasi-complexes (Washington, D.C. : United States Air Force, Office of Scientific Research, 1958., 1958), by James E. Keisler, United States. Air Force. Office of Scientific Research, and University of Michigan (page images at HathiTrust)

• Algebras of cohomologically finite dimension (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1954., 1954), by Samuel Eilenberg, Columbia University, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• The Suspension of the generalized Pontrjagin cohomology operations ([Washington, D.C.] : [United States Air Force, Office of Scientific Research], [1957], 1957), by Emery Thomas, United States. Air Force. Office of Scientific Research, and Berkeley. Department of Mathematics University of California (page images at HathiTrust)
• The Functional Pontrjagin cohomology operations. ([Washington, D.C.] : [United States Air Force, Office of Scientific Research], [1957], 1957), by Emery Thomas, United States. Air Force. Office of Scientific Research, and Berkeley. Department of Mathematics University of California (page images at HathiTrust)
• Note on cohomology algebras of symmetric groups (Washington D. C. : Mathematical Sciences Directorate, Office of Scientific Research, U.S. Air Force, 1960., 1960), by Minoru Nakaoka and United States. Air Force. Office of Scientific Research (page images at HathiTrust)

• A general theory of fibre spaces with structure sheaf. (University of Kansas, Dept. of Mathematics, 1958), by A. Grothendieck (page images at HathiTrust; US access only)
• Final report (Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961., 1961), by Saunders Mac Lane, University of Chicago. Department of Mathematics, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Simplical topology I. (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1959., 1959), by Saunders Mac Lane, United States. Air Force. Office of Scientific Research, and University of Chicago. Department of Mathematics (page images at HathiTrust)
• Two remarks on fiber homotopy type (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1959., 1959), by John Milnor, Edwin Henry Spanier, United States. Air Force. Office of Scientific Research, and University of Chicago. Department of Mathematics (page images at HathiTrust)

• Functor categories and their application to relative homology. (Columbia University, Dept. of Mathematics, 1962), by Peter Freyd and Columbia University. Department of Mathematics (page images at HathiTrust)
• Homological algebra and ring theory (Dept. of Mathematics, Oklahoma State University, 1961), by James Patrick Jans (page images at HathiTrust)
• Über eine zum projektiven, einseitigen R[subscript n] homöomorphe Mannigfaltigkeit, die ein- und zweiseitig erscheint (W. Fr. Kaestner, 1929), by Albert Noack (page images at HathiTrust; US access only)
• Cohomology operations and obstructions to extending continuous functions (Princeton University, 1957), by Norman Earl Steenrod (page images at HathiTrust)
• On the structure of Hopf algebras ([Princeton? N. J., 1961), by John W. Milnor and John Coleman Moore (page images at HathiTrust)
• Cohomology theories. ([Waltham? Mass., 1961), by Edgar Henry Brown (page images at HathiTrust)
• On the uniqueness theorem of local homology theory (Washington D. C. : Mathematics Division, Office of Scientific Research, U.S. Air Force, 1959., 1959), by Sze-Tsen Hu, Wayne State University, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Poincare duality in homology manifolds (Washington, D.C. : United States Air Force, Office of Scientific Research, 1958., 1958), by Frank Albert Raymond, United States. Air Force. Office of Scientific Research, and University of Michigan. Department of Mathematics (page images at HathiTrust)
• A Theorem of Frobenius, a theorem of Amitsur-Levitsk and cohomology theory (Washington, D.C. : United States Air Force, Office of Scientific Research, 1958., 1958), by Bertram Kostant, United States. Air Force. Office of Scientific Research, and Berkeley. Department of Mathematics University of California (page images at HathiTrust)
• On the Equivalence of two cohomology dimensions (Washington, D.C. : United States Air Force, Office of Scientific Research, 1958., 1958), by E. E. Floyd, United States. Air Force. Office of Scientific Research, and University of Virginia. Department of Mathematics (page images at HathiTrust)
• On the Cohomology of the real Grassman manifolds and the characteristics of classes of n-plane bundles (Washington, D.C. : United States Air Force, Office of Scientific Research, 1958., 1958), by Emery Thomas, United States. Air Force. Office of Scientific Research, and Berkeley. Department of Mathematics University of California (page images at HathiTrust)
• Lie algebra cohomology and the generalized Borel-Weil theorem (Washington D. C. : Mathematical Sciences Directorate, Office of Scientific Research, U.S. Air Force, 1960., 1960), by Bertram Kostant, United States. Air Force. Office of Scientific Research, and Berkeley. Department of Mathematics University of California (page images at HathiTrust)

• New Directions in Hopf Algebras (2002), ed. by Susan Montgomery and Hans-Jürgen Schneider (PDF files with commentary at msri.org)

• Lower K- and L-Theory (electronic edition, 2001), by Andrew Ranicki (PDF in the UK)
• K teorii Indo-Evropeĭskago vokalizma : izsliedovanie. (V Universitetskoĭ tip., 1881), by Alekseĭ Putiata (page images at HathiTrust)

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