Finite-dimensional categorial complement theorems in shape theory

 Access to full text

 Full (PDF)

1. 1 K. Borsuk: Theory of Retracts. Monografie Matematyczne Tom 44, PWNWarszawa (1967). Zbl0153.52905MR216473
2. 2 T.A. Chapman: On some applications of infinite-dimensional manifolds to the theory of shape. Fund. Math.76 (1972) 181-193. Zbl0262.55016MR320997
3. 3 T.A. Chapman: Shapes of finite-dimensional compacta, Fund. Math.76 (1972) 261-276. Zbl0222.55019MR320998
4. 4 D.A. Edwards and H.M. Hastings: Čech and Steenrod Homotopy Theories with Applications to Geometric Topology. Lecture Notes in Math. 542, Springer, Berlin-Heidelberg-New York (1976). Zbl0334.55001MR428322
5. 5 S Mardešić and J. Segal: Shape Theory. North Holland, Amsterdam (1982). Zbl0495.55001MR676973
6. 6 R.E. Mosher and M.C. Tangora: Cohomology Operations and Applications in Homotopy Theory. Harper & Row, New York (1968). Zbl0153.53302MR226634
7. 7 P. Mrozik: Chapman's category isomorphism for arbitrary ARs. Fund. Math.125 (1985) 195-208. Zbl0592.57013MR813757
8. 8 R.B. Sher: Complement theorems in shape theory. In: Shape Theory and Geometric Topology S. Mardešić and J. Segal (ed.) Lecture Notes in Math.870, Springer, Berlin-Heidelberg -New York (1981) pp. 150-168. Zbl0494.57007MR643529
9. 9 E.H. Spanier: Algebraic Topology. McGraw-Hill, New York (1966). Zbl0145.43303MR210112
10. 10 G. Venema: Embeddings of compacta with shape dimension in the trivial range. Proc. Amer. Math. Soc.55 (1976) 443-448. Zbl0332.57005MR397738
11. 11 G. Venema: Embeddings in shape theory. In: Shape Theory and Geometric Topology. S. Mardešić and J. Segal (eds.) Lecture Notes in Math.870, Springer, Berlin-Heidelberg -New York (1981) pp. 169-185. Zbl0491.57009MR643530

1. Peter Mrozik, Finite-dimensional categorical complement theorems in strong shape theory and a principle of reversing maps between open subsets of spheres