Continuously perfectly normal spaces and some generalizations

Corrections to \ Some Generalizations of Td - Spaces " and \ a Generalization of Normal Spaces

Some corrections to the papers \Some Generalizations of TD-Spaces (Mat. Ves-nik 34 (1982), 221{230)" and \A Generalization of Normal Spaces (ibid. 35 (1983), 1{10)" are given. 1. Semi-T D spaces 1] The rst part of the proofs of Theorems 1.6 and 2.4 of 1] are incorrect. The following two Theorems and their proofs provide the statements and proofs of the rst parts of the Theorems 1.6 and 2.4 of 1...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Chapter 6 Perfectly normal compacta , cosmic spaces , and some partition problems

Locally Compact Perfectly Normal Spaces May All Be Paracompact

Using results announced by Stevo Todorcevic we establish that if it is consistent that there is a supercompact cardinal then it is consistent that every locally compact perfectly normal space is paracompact. Modulo the large cardinal, this answers a question of S. Watson. We also solve a problem raised by the second author, proving that it is consistent with ZFC that every first countable hered...

Some Generalizations on Generalized Topology and Minimal Structure Spaces

The aim of this paper is to introduce some generalizations for closed sets in generalized topology and minimal structure spaces. We investigate some properties of these sets on these spaces. Moreover, we give the concept of T0-GTMS spaces, T1/2-GTMS spaces and R0-GTMS spaces, and the various relationships between them.