-movable and -calm compacta and their images
Compositio Mathematica (1982)
- Volume: 45, Issue: 1, page 115-141
- ISSN: 0010-437X
Access Full Article
topHow to cite
topČerin, Zvonko. "$\mathcal {C}_p-E$-movable and $\mathcal {C}-E$-calm compacta and their images." Compositio Mathematica 45.1 (1982): 115-141. <http://eudml.org/doc/89529>.
@article{Čerin1982,
author = {Čerin, Zvonko},
journal = {Compositio Mathematica},
keywords = {fundamental e-sequence; refinable map; movability; E-homotopies; characterizations of ANR's and LCn-spaces; images of ANR's and AANR's; approximatively right invertible map; calmness},
language = {eng},
number = {1},
pages = {115-141},
publisher = {Martinus Nijhoff Publishers},
title = {$\mathcal \{C\}_p-E$-movable and $\mathcal \{C\}-E$-calm compacta and their images},
url = {http://eudml.org/doc/89529},
volume = {45},
year = {1982},
}
TY - JOUR
AU - Čerin, Zvonko
TI - $\mathcal {C}_p-E$-movable and $\mathcal {C}-E$-calm compacta and their images
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 45
IS - 1
SP - 115
EP - 141
LA - eng
KW - fundamental e-sequence; refinable map; movability; E-homotopies; characterizations of ANR's and LCn-spaces; images of ANR's and AANR's; approximatively right invertible map; calmness
UR - http://eudml.org/doc/89529
ER -
References
top- [1] S.A. Bogatyĭ: Approximate and fundamental retracts. Mat. Sbornik93 (135) (1974) 90-102. Zbl0289.54025MR336695
- [2] K. Borsuk: Sur les retractés. Fund. Math.17 (1931) 152-170. Zbl0003.02701JFM57.0729.04
- [3] K. Borsuk: Theory of retracts, Monografie Matematyczne44, Warszawa1967. Zbl0153.52905MR216473
- [4] K. Borsuk: Theory of shape, Monografie Matematyczne59, Warszawa1975. Zbl0317.55006MR418088
- [5] Z. Čerin: Homotopy properties of locally compact spaces at infinity-calmness and smoothness. Pacific J. Math.79 (1978) 69-91. Zbl0405.55012MR526667
- [6] Z. Čerin, Cp-movably regular convergence, Fund. Math. (to appear). Zbl0463.54031MR621743
- [7] Z. Čerin: Strongly e-movable convergence and spaces of ANR's, (preprint). Zbl0527.54008MR730021
- [8] Z. Čerin: C-e-movable and (C, D)-e-tame compacta, (preprint). Zbl0519.54006MR699046
- [9] Z. Čerin: Surjective approximate absolute (neighborhood) retracts, Topology Proceedings, (to appear). Zbl0514.54006MR650477
- [10] Z. Čerin and A.P. Šostak: Some remarks on Borsuk's fundamental metric. Colloquia Math.23 (1978) 233-252. Zbl0455.54029
- [11] T.A. Chapman: On some applications of infinite-dimensional manifolds to the theory of shape. Fund. Math.76 (1972) 181-193. Zbl0262.55016MR320997
- [12] T.A. Chapman: Lectures on Hilbert cube manifolds. CBMS Regional Conferences Series in Mathematics, #28., Providence1976. Zbl0347.57005MR423357
- [13] T.A. Chapman and L.S. Siebenmann: Finding a boundary for a Hilbert cube manifold. Acta Math.137 (1976) 171-208. Zbl0361.57008MR425973
- [14] M.H. Clapp: On a generalization of absolute neighborhood retracts, Fund. Math.70 (1971) 117-130. Zbl0231.54012MR286081
- [15] J. Dydak: The Whitehead and Smale theorems in shape theory, Dissertationes Mathematicae 156, Warszawa1978. Zbl0405.55010MR522933
- [16] R. Edwards: Demension theory, Lecture Notes in Mathematics, #438, Springer, New York1975. Zbl0324.57004MR394678
- [17] J. Ford and J.W. Rogers:, Jr.: Refinable maps. Colloq. Math.39 (1978) 263-269. Zbl0417.54011MR522365
- [18] R. GEOGHEGAN (ed.): Open problems in infinite-dimensional topology. Topology Proceedings4 (1979) 287-338. Zbl0448.57001MR583711
- [19] W. Haver: Mappings between ANR's that are fine homotopy equivalences. Pacific J. Math.58 (1975) 457-462. Zbl0311.55006MR385865
- [20] S.T. Hu: Theory of retracts, Wayne State University Press, Detroit1965. Zbl0145.43003MR181977
- [21] G. Kozlowski: Factorization of certain maps up to homotopy. Proc. Amer. Math. Soc.21 (1969) 88-92. Zbl0184.26702MR238312
- [22] G. Kozlowski: Images of ANR's, (preprint).
- [23] G. Kozlowski and J.W. Rogers, Jr.: Shape-theoretic properties involving refinable maps, (to appear).
- [24] S. Mardešsić:Approximate polyhedra, resolutions of maps and shape fibrations, Fund. Math. (to appear). Zbl0411.54019MR643305
- [25] S. Mardešić and T.B. Rushing: Shape fibrations I. General Topology and its Appl.9 (1978) 193-215. Zbl0398.55011MR510901
- [26] H. Noguchi: A generalization of absolute neighborhood retracts. Kodai Math. Seminar Reports1 (1953) 20-23. Zbl0052.18803MR56279
- [27] P. Patten: Locally connected generalized absolute neighborhood retracts. Topology Proceedings3 (1978) 159-168. Zbl0426.54012MR540486
- [28] P. Patten: Refinable maps and generalized absolute neighborhood retracts (preprint). Zbl0493.54010MR667665
- [29] L.S. Siebenmann, Regular open neighborhoods. General Topology and its Appl.3 (1973) 51-61. Zbl0276.57003MR370604
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.