Biblioteca de la Universidad Complutense de Madrid

Approximate polyhedra, density and discrete maps

Impacto

Giraldo, A. y Rodríguez Sanjurjo, José Manuel (1995) Approximate polyhedra, density and discrete maps. Bulletin of the Australian Mathematical Society, 52 (2). pp. 201-206. ISSN 0004-9727

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URL Oficial: http://journals.cambridge.org/abstract_S0004972700014611




Resumen

Some extension properties of maps defined on dense subsets are studied for approximate polyhedra. The latter are characterised as approximate extensors for finite maps with small oscillation.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Geometría
Ciencias > Matemáticas > Topología
Código ID:16966
Referencias:

S. Bogatyi, 'Approximative and fundamental retracts', Math. USSR-Sb. 22 (1974), 91-103.

K. Borsuk, 'On some metrizations of the hyperspace of compact sets', Fund. Math. 41 (1954), 168-202.

K. Borsuk, Theory of retracts, Monografie Matematyczne 44 (Polish Scientific Publishers, Warszawa, 1967).

K. Borsuk, 'Concerning homotopy properties of compacta', Fund. Math. 62 (1968), 223-254.

M.H.Clapp, 'On a generalization of absolute neighborhood retracts', Fund. Math. 70 (1971), 117-130.

J. Dydak and J. Segal, 'Approximate polyhedra and shape theory', Topology Proc. 6 (1981), 279-286.

A. Giraldo and J.M.R. Sanjurjo, 'Density and shape', (preprint).

A. Granas, 'Fixed point theorems for the approximative ANRs', Bull. Acad. Polon. Sci., Ser. sci. math., astr. et phys. 16 (1968), 15-19.

S. Hu, Theory of retracts (Wayne State University Press, Detroit, 1967).

S. Mardesic, 'Approximate polyhedra, resolutions of maps and shape fibrations', Fund. Math. 114(1981), 53-78.

S. Mardesic and J. Segal, Shape theory (North Holland, Amsterdam, 1982).

H. Noguchi, 'A generalization of absolute neighborhood retracts', Kodai Math. Seminar reports 1 (1953), 20-22.

J.M.R. Sanjurjo, 'An intrinsic description of shape', Trans. Amer. Math. Soc. 329 (1992), 625-636.

J.M.R. Sanjurjo, 'Multihomotopy, Cech spaces of loops and shape groups', Proc. London Math. Soc. 69 (1994), 330-344.

J. Van Mill, Infinite-dimensional topology (North Holland, Amsterdam, 1989).

J.E. West, 'Problems in infinite-dimensional topology', in Open problems in topology, (J. Van Mill and G.M. Reed, Editors) (North Holland, Amsterdam, 1990), pp. 523-597.

Depositado:31 Oct 2012 12:00
Última Modificación:07 Feb 2014 09:39

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