Registro:

Referencias:

• Anderson, F.W., Fuller, K.R., Rings, Modules and Homomorphisms (1992) Rings and Categories of Modules, pp. 10-64. , Springer New York, New York, NY
• Belchí, F., Murillo, A., A1-persistence (2015) Appl. Algebra Eng. Commun, 26 (1-2), pp. 121-140. , Comput, Special issue in Computational and Applied topology
• Blumberg, A.J., Gal, I., Mandell, M.A., Pancia, M., Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces (2014) Found. Comput. Math., 14 (4), pp. 745-789
• Burago, D., Burago, Y., Ivanov, S., (2001) A Course in Metric Geometry, Graduate Studies in Mathematics, 33. , American Mathematical Society, Providence
• Burde, G., Zieschang, H., Heusener, M., (2014) Knots, Third, Fully Revised and Extended Edition, De Gruyter Studies in Mathematics, 5. , vol., De Gruyter, Berlin
• Cagliari, F., Ferri, M., Pozzi, P., Size functions from a categorical viewpoint (2001) Acta Appl. Math., 67 (3), pp. 225-235
• Crawley-Boevey, W., Decomposition of pointwise finite-dimensional persistence modules (2015) J. Algebra Appl., 14 (5), p. 1550066
• de Silva, V., Morozov, D., Vejdemo-Johansson, M., Persistent cohomology and circular coordinates (2011) Discrete Comput. Geom., 45 (4), pp. 737-759
• de Silva, V., Morozov, D., Vejdemo-Johansson, M., Dualities in persistent (co)homology (2011) Inverse Probl., 27 (12), p. 124003
• Deza, M.M., Deza, E., (2013) Encyclopedia of distances, , 2, Springer, Heidelberg
• Edelsbrunner, H., Harer, J., Persistent homology—a survey. In: Surveys on discrete and computational geometry (2008) Contemp. Math, 453, pp. 257-282. , Amer. Math. Soc., Providence
• Edelsbrunner, H., Harer, J.L., Computational topology (2010) American Mathematical Society, Providence, , An introduction
• Edelsbrunner, H., Letscher, D., Zomorodian, A., Topological persistence and simplification (2002) Discrete Comput. Geom, 28 (4), pp. 511-533. , (Discrete and computational geometry and graph drawing (Columbia, SC, 2001))
• Félix, Y., Halperin, S., Thomas, J.-C., (2001) Rational Homotopy Theory, , Graduate Texts Mathematics, Springer New York, New York, NY
• Massimo, F., Persistent topology for natural data analysis—a survey
• Freyd, P.J., Functor theory (1960) Proquest LLC, , Thesis, Ph.D., Princeton University, Ann Arbor
• Frosini, P., A distance for similarity classes of submanifolds of a Euclidean space (1990) Bull. Austral. Math. Soc., 42 (3), pp. 407-416
• Frosini, P., Landi, C., Size theory as a topological tool for computer vision (1999) Pattern Recognit. Image Anal., 9, pp. 596-603
• Hatcher, A., (2002) Algebraic topology, , Cambridge University Press, Cambridge
• Aubrey, H.B., (2011) Persistent Cohomology Operations, , ProQuest LLC Thesis (Ph.D.), Duke University, Ann Arbor
• He, J.-W., Di-Ming, L., Higher Koszul algebras and A-infinity algebras (2005) J. Algebra, 293 (2), pp. 335-362
• Herscovich, E., Using torsion theory to compute the algebraic structure of Hochschild (Co)homology Homol. Homotopy Appl., , accepted
• Herscovich, E., Spectral sequences associated to deformations (2017) J. Homotopy Relat. Struct., 12 (3), pp. 513-548
• Himmelberg, C.J., Quotients of completely regular spaces (1968) Proc. Am. Math. Soc., 19, pp. 864-866
• Kadeišvili, T.V., On the theory of homology of fiber spaces (1980) Uspekhi Mat. Nauk, 35 (3), pp. 183-188. , (213), Russian) (International Topology Conference (Moscow State Univ., Moscow, 1979))
• Kadeishvili, T.V., The algebraic structure in the homology of an A(1)-algebra (1982) Soobshch. Akad. Nauk Gruzin, 108 (2), pp. 249-252. , SSR, Russian, with English and Georgian summaries
• Lefèvre-Hasegawa, K., (2003) Sur Les A1-catégories, , http://www.math.jussieu.fr/keller/lefevre/TheseFinale/corrainf.pdf, Thesis (Ph.D.), Université Paris 7, Paris , (French)
• Lu, D.-M., Palmieri, J.H., Wu, Q.-S., Zhang, J.J., A-infinity structure on Ext-algebras (2009) J. Pure Appl. Algebra, 213 (11), pp. 2017-2037
• Massey, W.S., Exact couples in algebraic topology. I, II (1952) Ann. Math, 56 (2), pp. 363-396
• Massey, W.S., Higher order linking numbers (1969) Conf. on Algebraic Topology (Univ. of Illinois at Chicago Circle, Chicago, Ill., 1968), pp. 174-205. , Univ. of Illinois at Chicago Circle. Chicago
• Massey, W.S., Higher order linking numbers (1998) J. Knot Theory Ramif., 7 (3), pp. 393-414
• Matschke, B., (2013) Successive Spectral Sequences
• Mitchell, B., Rings with several objects (1972) Adv. Math., 8, pp. 1-161
• Prouté, A., A1-structures. Modèles minimaux de Baues-Lemaire et Kadeishvili et homologie des fibrations (2011) Repr. Theory Appl. Categ, 21, pp. 1-99. , French) (Reprint of the 1986 original; With a preface to the reprint by Jean-Louis Loday)
• Robins, V., Towards computing homology from finite approximations (2001) Proceedings of the 14Th Summer Conference on General Topology and Its Applications, 1999, pp. 503-532. , Brookville
• Sagave, S., DG-algebras and derived A1-algebras (2010) J. Reine Angew. Math., 639, pp. 73-105
• Shilane, L., Filtered spaces admitting spectral sequence operations (1976) Pac. J. Math., 62 (2), pp. 569-585
• Stanley, R.P., Enumerative combinatorics. Volume 1, 2nd edn (2012) Cambridge Studies in Advanced Mathematics, 49. , Cambridge University Press, Cambridge
• Stasheff, J.D., Homotopy associativity of H-spaces (1963) I. Trans. Am. Math. Soc., 108, pp. 275-292
• Stasheff, J.D., Homotopy associativity of H-spaces (1963) II. Trans. Am. Math. Soc., 108, pp. 293-312
• Weibel, C.A., An introduction to homological algebra (1994) Cambridge Studies in Advanced Mathematics, 38. , Cambridge University Press, Cambridge
• Weinberger, S., What is..persistent homology? (2011) Not. Am. Math. Soc., 58 (1), pp. 36-39
• Yarmola, A., Persistence and computation of the cup product (2010) Thesis (B.Sc.), Stanford University, , http://mathematics.stanford.edu/wp-content/uploads/2013/08/Yarmola-Honors-Thesis-2010.pdf
• Zomorodian, A., Carlsson, G., Computing persistent homology (2005) Discrete Comput. Geom., 33 (2), pp. 249-274

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------