The main goal of this paper is to use the concept _ open sets present new classes separation axioms in _topological spaces. Those are _spaces, =0,1,2. We have studied some basic properties these also discussed relationship between _spaces and Nano spaces), Furthermore deals with throughout kernel set associated closed which used prove theorems related it. hereditary topological were discussed.

We introduce strong separation axioms in bitopological spaces. We also introduce the notion of strong pairwise compactness.

The idea of ech fuzzy soft bi-closure space ( bicsp) is a new one, and its basic features are defined studied in [1]. In this paper, separation axioms, namely pairwise, , pairwise semi-(respectively, pseudo Uryshon) - fs bicsp's introduced both their induced bitopological spaces. It shown that hereditary property satisfied for with respect to but other mentioned types separations satisfies clos...

Several notions on soft topology are studied and their basic properties investigated by using the concept of pre open sets closure operator which derived from basics set theory established Molodtsov [1]. In this paper we introduce some separation axioms called Soft R0 R1 in topological spaces defined over an initial universe with a fixed parameters. Many characterizations these have been demons...

An ordinal mechanism is a mechanism that takes as input ordinal preference orderings over outcomes and selects a lottery over the outcomes, e.g., most matching mechanisms. In (Mennle and Seuken, 2014) we have given an axiomatic characterization of strategyproof ordinal mechanisms when the agent is not indifferent between outcomes: a mechanism is strategyproof if and only if it is swap monotonic...