B. P. Abbott, Phys. Rev. Lett, vol.116, p.61102, 2016.

M. Adachi, Embeddings and Immersions, Translations of Mathematical Monographs, vol.124, 1993.

M. Aguiar and S. Mahajan, Monoidal Functors, Species and Hopf Algebras

W. G. Baber and H. R. Hassé, Proc. Camb. phil. Soc, vol.25, 1935.

J. C. Baez and J. Dolan, Categorification

J. M. Bardeen and W. H. Press, J. Math. Phys, vol.14, issue.7, 1973.

H. J. Baues, Algebraic Homotopy, 1988.

C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, 1978.

A. L. Besse and E. Manifolds, , 1980.

C. T. Bolton, Nature, vol.240, p.124, 1972.

R. Bott and L. W. Tu, Differential Forms in Algebraic Topology, 1982.

C. Boyer, K. Galicki, and . Sasakian-geometry, , 2008.

F. Brickell, R. S. Clark, and D. Manifolds, , 1970.

V. Cardoso, Is the Gravitational-Wave Ringdown a Probe of the Event Horizon?, Phys. Rev. Lett, vol.116, p.171101, 2016.

M. P. Carmo, G. Do, and . Riemanniana, , 1988.

S. M. Carroll, Lecture Notes on General Relativity, 1997.

H. Cartan, S. Eilenberg, and . Homological-algebra, , 1956.

J. Casares and P. G. Jonker, Space Sci. Rev, vol.183, p.223, 2014.

S. Chandrasekhar, The Mathematical Theory of Black Holes, 1983.

S. Chandrasekhar and S. Detweiler, Proc. Roy. Soc. London, A344, p.441, 1975.

E. Cheng and A. Lauda, Higher Dimensional Categories: an illustred guide book

S. S. Chern, The Geometry of G-Structures

F. Dadam, Oscilações de Buracos Negros

S. Detweiler, Astrophys. J, vol.239, 1980.

B. Eckmann and P. J. Hilton, Group-Like Structures in General Categories I: Multiplications and Comultiplications, Math. Annalen, vol.142, pp.227-255, 1962.

A. Einstein, .. K. Sitzungsber, and . Preuss, Akad. Wiss, vol.1, p.688, 1916.

A. Einstein, .. K. Sitzungsber, and . Preuss, Akad. Wiss, vol.1, p.154, 1918.

E. D. Farjoun, Fundamental Group of Homotopy Colimits, Advances in Mathematics, vol.182, pp.1-27, 2004.

M. Fecko, Differential Geometry and Lie Groups for Physicists, 2006.

R. L. Fernandes, Lições de Geometria Diferencial

V. Ferrari and B. Mashhoon, Oscillations of a black hole, Phys. Rev. D, vol.52, p.1361, 1984.

V. Ferrari and B. Mashhoon, New approach to the quasinormal modes of a black hole, Phys. Rev. D, vol.30, 1984.

W. Greub, Connections, Curvature and Cohomology, vol.I, 1972.

V. Guillemin, A. Pollack, and . Topology, , 1974.

S. Hawking and G. F. Ellis, The Large-Scale Structure of Spacetime, 1973.

A. Heller, Homological Algebra in Abelian Categories, Ann. of Math, vol.68, pp.484-525, 1958.

M. W. Hirsch, Differential Topology, 1976.

P. S. Hirschhorn, Model Categories and Their Localizations, 2003.

M. Hovey, Model Categories, 1991.

D. Husemoller, Fibre Bundles, GTM, vol.20, 1993.

S. Iyer and C. M. Will, Black-hole normal modes: A WKB approach

I. , Foundations and application of a higher order WKB analysis of potentialbarrier scattering, Phyis. Rev. D, vol.35, 1987.

G. Jaffé, Z.Phys, vol.87, 1934.

J. L. Kelley and . Topology, GTM, vol.27, 1991.

R. P. Kerr, Phys. Rev. Lett, vol.11, p.237, 1963.

M. A. Kervaire, A Manifold with does not admit any Differentiable Structure, Commentarii Mathematici Helvetici, vol.34, pp.304-312, 1960.

S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, vol.1, 1963.

K. D. Kokkotas, Normal modes of the Kerr black hole, Class. Quantum Grav, vol.8, p.2217, 1991.

K. D. Kokkotas and B. G. Schmidt, Quasi-normal modes of stars and black holes, 1999.

A. I. Kostrikin and Y. I. Manin, Linear Algebra and Geometry, 1981.

H. A. Kramers, . Hand, and . Jahrb, Chem. Phys, vol.1, p.312, 1938.

W. Heisenberg, Z. Naturforsch, vol.1, p.608, 1946.

S. Lang and . Algebra, , 2000.

S. Lang, Introduction to Differentiable Manifolds, 2000.

E. W. Leaver, An analytic representation for the quasi-normal modes of Kerr black holes, Proc. R. Soc. London, Ser. A, vol.402, 1985.

T. Leinster, . Higher, and . Operads, Higher Categories

T. Leinster, Basic Category Theory, 2014.

B. G. Levich, V. A. Myamlin, and Y. A. Vdovin, Theoretical Physics -Quantum Mechanics, 1973.

E. L. Lima, Elementos de Topologia Geral, 2014.

J. Lurie, Higher Topos Theory, 2009.

S. Maclane, Categories for the Working Mathematician, 1991.

S. Maclane and . Homology, , 1991.

I. Madsen and J. Tornehave, From Calculus to Cohomology: de Rham cohomology and characteristic classes, 1997.

J. B. Marion and S. T. Thornton, Classical Dynamics of Particles and Systems, 1995.

J. P. May, A Concise Course on Algebraic Topology, 1999.

J. P. May and J. Sigerdssan, Parametrized Homotopy Theory, 2006.

J. P. May and K. Ponto, More Concise Algebraic Topology, 2012.

J. Milnor, On manifolds homeomorphics to the 7-sphere, Annals of Mathematics, vol.64, issue.2, pp.399-405, 1956.

. Milnor-e-stasheff, Characteristic Classes

C. W. Misner, K. S. Thorne, and J. W. Wheeler, Gravitation, 1970.

B. Mitchell, Theory of Categories, 1965.

J. Munkres and P. Topology, , 2000.

M. Nakahara and . Geometry, Topology and Physics, 2003.

H. Onozawa, Detailed study of quasinormal frequencies of the Kerr black hole, Phys. Rev. D, vol.55, 1997.

R. Penrose and M. A. Maccallum, Twistor Theory: an approach to the quantisation of fields and space-time, Physics Repports, vol.6, pp.241-316, 1972.

R. Penrose and W. Rindler, Spinors and Space-time, 1987.

R. Penrose and W. Rindler, Spinors and Space-time, 1987.

E. Prugovecki, Quantum Mechanics in Hilbert Space, 1971.

T. Regge and J. A. Wheeler, Phys. Rev, vol.108, p.1063, 1957.

J. J. Rotman, An Introduction to Homological Algebra, 2000.

B. Schutz, Geometrical Methods of Mathematical Physics, 1980.

K. Schwarzschild, .. K. Sitzungsber, and . Preuss, Akad. Wiss, vol.1, p.189, 1916.

A. C. Silva, Lectures on Symplectic Geometry, 2006.

E. H. Spanier, Algebraic Topology, 1966.

N. Steenrod, The topology of Fibre Bundle, 1951.

S. Sternberg, Lectures on Differential Geometry, 1964.

J. Strom, Modern Homotopy Theory, Graduate Studies in Mathematics, vol.127, 2011.

S. A. Teukolsky, Phys. Rev. Lett, vol.29, p.1114, 1972.

S. A. Teukolsky, Astrophys. J, vol.185, 1973.

C. V. Vishweshwara, Stability of the Schwarzschild metric, Phys. Rev. D, 1970.

R. M. Wald and . Relativity, , 1984.

B. L. Webster and P. Murdin, Nature, vol.235, p.37, 1972.

C. A. Weibel, An Introduction to Homological Algebra, 1994.

S. Weinberg, Gravitation and Cosmology, 1972.

G. W. Whitehead, Elements of Homotopy Theory, 1978.

B. F. Whiting, J. Math. Phys, vol.30, p.1301, 1989.

-. Zemmour and P. Diffeology, , 2013.