Strong Insertion of a Contra-Continuous Function Between Two Comparable Contra-B−Continuous Functions

Enough condition in terms of lower cut sets are given for the strong insertion of a contra-continuous   function between two comparable contra-b−continuous real-valued functions on such topological spaces that kernel of sets is open

Insertion of a Contra-Baire-11 (Baire-.5.5) Function

summary:Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Baire-$.5$ function between two comparable real-valued functions on the topological spaces that $F_{\sigma }$-kernel of sets are $F_{\sigma }$-sets

Weak Insertion of a Contra-Baire-1 (Baire-.5) Function

A sufficient condition in terms of lower cut sets are given for the weak insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that Fσ−kernel of sets are Fσ−sets

A note on a semicontinuous and darboux continuous function

Present alternate proof for a function that is zero almost every­where, not indentically zero, of Baire class 1 (and indeed upper semi-continuous), and Darboux continuous

A NOTE ON EXTREMALLY DISCONNECTED SPACES

Abstract In this paper we give several equivalent characterizations of extremally disconnected spaces

‎INSERTION OF A CONTRA-CONTINUOUS FUNCTION BETWEEN TWO ‎‎COMPARABLE CONTRA-α−\alpha-CONTINUOUS (CONTRA-C−C-CONTINUOUS) FUNCTIONS

‎A necessary and sufficient condition in terms of lower cut sets ‎are given for the insertion of a contra-continuous function ‎between two comparable real-valued functions on such topological ‎spaces that kernel of sets are open‎.

National and sub-national trends of salt intake in Iranians from 2000 to 2016 : a systematic analysis

Acknowledgements The authors wish to thank all the staff at the Non-Communicable Diseases Research Center of Tehran University of Medical Sciences for their support. Funding This study was supported by Iran University of Medical Sciences (Grant Number: 9221128206).Peer reviewedPublisher PD