Anti-nets. I. (Basic notation and properties - closure conditions)

Basic Properties of Closure Spaces

This technical report summarized facts from the basic theory of generalized closure spaces and gives detailed proofs for them. Many of the results collected here are well known for various types of spaces. We have made no attempt to find the original proofs. 1. Set-Valued Set-Functions 1.1. Closure, Interior, Neighborhood, and Convergent. In this section, which in part generalizes the results o...

Basic Concepts and Notation

A set is formally an undefined term, but intuitively it is a (possibly empty) collection of arbitrary objects. A set is usually denoted by curly braces and some (optional) restrictions. Examples of sets are {1,2,3}, {hi, there}, and {k | k is a perfect square}. The symbol ∈ denotes set membership , while the symbol ∉ denotes set non-membership ; for example, 7∈{p | p prime} states that 7 is a p...

Closure, Properties and Closure Properties of Multirelations

ISOLATION OF MYELIN BASIC PROTEIN AND DETECTION OF I TS IMMUNOL\'OGICAL PROPERTIES

Multiple sclerosis (MS) is an inflammatory disease of the central nervous system of presumed autoimmune etiology. One of the best animal models of demyelinating diseases is experimental autoimmune encephalomyelitis (EAE), which can be induced in a variety of animals by injection of a target antigen such as myelin basic protein (MBP). The immune responses against the target amino acids caus...

Weakly Implicative (Fuzzy) Logics I: Basic Properties

This paper presents two classes of propositional logics (understood as a consequence relation). First we generalize the well-known class of implicative logics of Rasiowa and introduce the class of weakly implicative logics. This class is broad enough to contain many “usual” logics, yet easily manageable with nice logical properties. Then we introduce its subclass— the class of weakly implicativ...