Search Results

You are looking at 1 - 10 of 10 items for :

  • "insertion" x
  • Mathematics and Statistics x
  • All content x
Clear All

Abstract  

Insertion of lattice-valued functions in a monotone manner is investigated. For L a ⊲-separable completely distributive lattice (i.e. L admits a countable base which is free of supercompact elements), a monotone version of the Katětov-Tong insertion theorem for L-valued functions is established. We also provide a monotone lattice-valued version of Urysohn’s lemma. Both results yield new characterizations of monotonically normal spaces. Moreover, extension of lattice-valued functions under additional assumptions is shown to characterize also monotone normality.

Restricted access

An insertion theorem characterizing paracompactness Topology Proc. 30 557 – 564 . [9] Pol , R. 1977

Restricted access

Abstract  

We investigate the relations between decreasing sequences of sets and the insertion of semi-continuous functions, and give some characterizations of countably metacompact spaces, countably paracompact spaces, monotonically countably paracompact spaces (MCP), monotonically countably metacompact spaces (MCM), perfectly normal spaces and stratifiable spaces.

Restricted access

Good, C. and Stares, I. , Monotone insertion of continuous functions, Topology Appl. , 108 (2000), 91–104. MR 2001h :54028 Stares I. Monotone insertion of continuous functions

Restricted access

Abstract  

A sufficient condition for the strict insertion of a continuous function between two comparable upper and lower semicontinuous functions on a normal space is given. Among immediate corollaries are the classical insertion theorems of Michael and Dowker. Our insertion lemma also provides purely topological proofs of some standard results on closed subsets of normal spaces which normally depend upon uniform convergence of series of continuous functions. We also establish a Tietze-type extension theorem characterizing closed G δ-sets in a normal space.

Restricted access

have to be performed in s 1 (or in s 2 ) in order to make s 1 and s 2 identical, where the admitted operations are deletion of a symbol, insertion of a symbol and substitution of a symbol by a symbol. Let L max ( s 1 , s 2 ) be the maximal

Restricted access

Kinetics of Li insertion into polycrystalline and nanocrystalline ‘SnSb’ alloys investigated by transient and study state techniques 000176934600018 Effect of socking time on the

Restricted access
Scientometrics
Authors: Renato X. Coutinho, Eliziane S. Dávila, Wendel M. dos Santos, João B. T. Rocha, Diogo O. G. Souza, Vanderlei Folmer, and Robson L. Puntel

(20–30%). This balance between the disciplines focused is very important, since Fensham ( 2008 ) reported that the knowledge of science refers to the knowledge of the natural world and its perception is essential for the student insertion in society

Restricted access
Scientometrics
Authors: Thomas Gurney, Edwin Horlings, and Peter van den Besselaar

. Information Processing & Management 45 1 84 – 97 10.1016/j.ipm.2008.06.006 . Levenshtein , VI 1966 Binary codes capable of correcting deletions, insertions, and reversals . Soviet

Open access

most representative of the topics in a paper. In other words, upon examining only these sections we wished to concentrate on the contents expressing the gist of the paper and its insertion in the research area. Nevertheless, as we shall show the results

Restricted access