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Abstract:

We develop the homology theory of CW (A)-complexes, generalizing the classical cellular homology theory for CW-complexes. A CW (A)-complex is a topological space which is built up out of cells of a certain core A. © 2008 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:A geometric decomposition of spaces into cells of different types II: Homology theory
Autor:Minian, E.G.; Ottina, E.M.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Cell structures; Cellular homology; CW-complexes; Whitehead Theorem
Año:2008
Volumen:155
Número:16
Página de inicio:1777
Página de fin:1785
DOI: http://dx.doi.org/10.1016/j.topol.2008.05.015
Título revista:Topology and its Applications
Título revista abreviado:Topol. Appl.
ISSN:01668641
CODEN:TIAPD
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_01668641_v155_n16_p1777_Minian.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01668641_v155_n16_p1777_Minian

Referencias:

  • Baues, H.-J., Algebraic Homotopy (1989) Cambridge Stud. Adv. Math., 15. , Cambridge Univ. Press
  • Brown, R., (2006) Topology and Groupoids, , Booksurge
  • Chachólski, W., A generalization of the triad theorem of Blakers-Massey (1997) Topology, 36 (6), pp. 1381-1400
  • Dror Farjoun, E., Cellular Spaces, Null Spaces and Homotopy Localization (1996) Lecture Notes in Math., 1622. , Springer
  • Fritsch, R., Piccinini, R.A., Cellular Structures in Topology (1990) Cambridge Stud. Adv. Math., 19. , Cambridge Univ. Press
  • Minian, E.G., Complexes in Cat (2002) Topology Appl., 119, pp. 41-51
  • Minian, E.G., Ottina, E.M., A geometric decomposition of spaces into cells of different types (2006) J. Homotopy Relat. Struct., 1, pp. 245-271
  • E.G. Minian, E.M. Ottina, A-homology, A-homotopy, CW (A)-complexes and spectral sequences, preprint, 2008; Romero, A., Rubio, J., Sergeraert, F., Computing spectral sequences (2006) J. Symbolic Comput., 41, pp. 1059-1079

Citas:

---------- APA ----------
Minian, E.G. & Ottina, E.M. (2008) . A geometric decomposition of spaces into cells of different types II: Homology theory. Topology and its Applications, 155(16), 1777-1785.
http://dx.doi.org/10.1016/j.topol.2008.05.015
---------- CHICAGO ----------
Minian, E.G., Ottina, E.M. "A geometric decomposition of spaces into cells of different types II: Homology theory" . Topology and its Applications 155, no. 16 (2008) : 1777-1785.
http://dx.doi.org/10.1016/j.topol.2008.05.015
---------- MLA ----------
Minian, E.G., Ottina, E.M. "A geometric decomposition of spaces into cells of different types II: Homology theory" . Topology and its Applications, vol. 155, no. 16, 2008, pp. 1777-1785.
http://dx.doi.org/10.1016/j.topol.2008.05.015
---------- VANCOUVER ----------
Minian, E.G., Ottina, E.M. A geometric decomposition of spaces into cells of different types II: Homology theory. Topol. Appl. 2008;155(16):1777-1785.
http://dx.doi.org/10.1016/j.topol.2008.05.015