Exact sequence interlocking and free homotopy theory

K. A. Hardie; K. H. Kamps

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1985)

  • Volume: 26, Issue: 1, page 3-31
  • ISSN: 1245-530X

How to cite

top

Hardie, K. A., and Kamps, K. H.. "Exact sequence interlocking and free homotopy theory." Cahiers de Topologie et Géométrie Différentielle Catégoriques 26.1 (1985): 3-31. <http://eudml.org/doc/91355>.

@article{Hardie1985,
author = {Hardie, K. A., Kamps, K. H.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {exactness in categories of pointed sets; Kervaire diagram; interlocking sequences; nonabelian Mayer-Victoris sequences; free homotopy sets},
language = {eng},
number = {1},
pages = {3-31},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Exact sequence interlocking and free homotopy theory},
url = {http://eudml.org/doc/91355},
volume = {26},
year = {1985},
}

TY - JOUR
AU - Hardie, K. A.
AU - Kamps, K. H.
TI - Exact sequence interlocking and free homotopy theory
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1985
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 26
IS - 1
SP - 3
EP - 31
LA - eng
KW - exactness in categories of pointed sets; Kervaire diagram; interlocking sequences; nonabelian Mayer-Victoris sequences; free homotopy sets
UR - http://eudml.org/doc/91355
ER -

References

top
  1. 1 R. Brown, On a method of P. Olum, J. London Math. Soc.40 (1965), 303-304. Zbl0145.43401MR175132
  2. 2 R. Brown, Fibrations of groupoids, J. Algebra15 (1970), 103-132. Zbl0194.02202MR271194
  3. 3 R. Brown, P.R. Heath & K.H. Kamps, Groupoids and the Mayer-Vietoris sequence, J. Pure Appl. Algebra30 (1983), 109-129. Zbl0522.18010MR722367
  4. 4 R. Brown, P.R. Heath & K.H. Kamps, Coverings of groupoids and Mayer-Vietoris type sequences, Proc. Toledo, Sigma Ser. in Pure Math. 5, Heldermann (1984), 147. Zbl0553.18005MR785015
  5. 5 T. tom Dieck, K.H. Kamps & D. Puppe, Homotopietheorie, Lecture Notes in Math.157, Springer (1970). Zbl0203.25401MR407833
  6. 6 E. Dyer & J. Roitberg, Note on sequences of Mayer-Vietoris type, Proc. A.M.S.80 (1980), 660-662. Zbl0455.55012MR587950
  7. 7 P. Gabriel& M. Zisman, Calculus of fractions and homotopy theory, Springer, 1966. Zbl0186.56802MR210125
  8. 8 K.A. Hardie & A.V. Jansen, Toda brackets and the category of homotopy pairs, Quaestiones Math.6 (1983), 107-128. Zbl0522.55011MR700243
  9. 9 P.R. Heath& K.H. Kamps, On exact orbit sequences, Ill. J. Math.26 (1982), 149-154. Zbl0467.20043MR638559
  10. 10 K.H. Kamps, Zur Homotopietheorie von Gruppoiden, Arch. Math.23 (1972), 610-618. Zbl0251.20059MR315022
  11. 11 L. Kaup& H.G. Weidner, Mayer-Vietoris Sequenzen und Lefschetzsätze fGr mehrfache Hyperflächenschnitte in der Homotopie, Math. Z.142 (1975), 243-269. Zbl0295.14010MR377124
  12. 12 Y. Nomura, On mapping sequences, Nagoya Math. J.17 (1960), 111-145. Zbl0125.11403MR132545
  13. 13 Y. Nomura, An application of the path-space technique to the theory of triads, Nagoya Math. J.22 (1963), 169-188. Zbl0123.39702MR155327
  14. 14 P. Olum, Non-abelian cohomology and van Kampen's Theorem, Ann. Math.68 (1958), 658-667. Zbl0088.15202MR96218
  15. 15 D. Puppe, Homotopiemengen und ihre induzierten Abbildungen I, Math. Z.69 (1958), 299-344. Zbl0092.39803MR100265
  16. 16 J.W. Rutter, A homotopy classification of mape into an induced fibre space, Topology6 (1967), 379-403. Zbl0152.21804MR214070
  17. 17 R.J. Steiner, Exact sequences of conjugacy classes and rationalization. Math. Proc. Cambridge Phil. Soc.82 (1977), 249-253. Zbl0365.20037MR447406
  18. 18 R.M. Switzer, Algebraic Topology -Homotopy and Homology, Springer, 1975. Zbl0305.55001MR385836
  19. 19 H. Toda, Composition Methods in Homotopy Croups of Spheres, Ann. of Math. Studies49, Princeton Univ. Press, 1962. Zbl0101.40703MR143217
  20. 20 C.T.C. Wall, On the exactness of interlocking sequences, l'Enseignement Math.12 (1966), 95-100. Zbl0151.31205MR206943

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.