论文信息 - A generalization of the Hahn-Mazurkiewicz theorem

A generalization of the Hahn-Mazurkiewicz theorem

It is proved that if a Hausdorff continuum X can be approximated by finite trees (see the text for definition) then there exists a (generalized) arc L and a continuous surjection <p: L -» X.

L. E. Ward

[1] E. Tymchatyn. The Hahn-Mazurkiewicz theorem for finitely Suslinian continua , 1977 .

[2] L. E. Ward. The Hahn-Mazurkiewicz theorem for rim-finite continua , 1976 .

[3] J. Cornette. “Image of a Hausdorff arc” is cyclically extensible and reducible , 1974 .

[4] S. Nadler. Multicoherence techniques applied to inverse limits , 1971 .

[5] A. Ward. Notes on general topology , 1965, Mathematical Proceedings of the Cambridge Philosophical Society.

[6] L. Treybig. Concerning continua which are continuous images of compact ordered spaces , 1965 .

[7] L. Treybig. Concerning continuous images of compact ordered spaces , 1964 .

[8] G. S. Young. Shorter Notes: Representations of Banach Spaces , 1962 .

[9] S. Mardešić. On the Hahn-Mazurkiewicz theorem in nonmetric spaces , 1960 .

[10] L. E. Ward. Mobs, trees, and fixed points , 1957 .

[11] C. Capel. Inverse limit spaces , 1954 .

[12] B. Pearson. Mapping arcs and dendritic spaces onto netlike continua , 1975 .

[13] B. Pearson. Mapping an arc onto a dendritic continuum , 1974 .

[14] J. Cornette,et al. Another locally connected Hausdorff continuum not connected by ordered continua , 1972 .