Constructions and applications of rigid spaces, I

Kannan, V. ; Rajagopalan, M. (1978) Constructions and applications of rigid spaces, I Advances in Mathematics, 29 (1). pp. 89-130. ISSN 0001-8708

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/000187...

Related URL: http://dx.doi.org/10.1016/0001-8708(78)90006-3

Abstract

The two major results proved are: (1) The category TOP of topological spaces contains a complete nonreflective subcategory. (2) Under the assumption (2m)+ < 22m, for each infinite cardinal number m there exists a Hausdorff space of cardinality m, in which the identity map is the only nonconstant continuous self-map. The first result is proved as a consequence of another result which answers a question of Herrlich concerning strongly rigid spaces; it is then used to settle in the negative a conjecture concerning the characterization of reflective subcategories in TOP. In addition, several interesting spaces are constructed.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:15473
Deposited On:13 Nov 2010 08:59
Last Modified:03 Jun 2011 08:22

Repository Staff Only: item control page