## What are hyperfuncoids isomorphic to? ★★

Author(s): Porton

Let be an indexed family of sets.

Products are for .

Hyperfuncoids are filters on the lattice of all finite unions of products.

Problem   Is a bijection from hyperfuncoids to:
\item prestaroids on ; \item staroids on ; \item completary staroids on ?

If yes, is defining the inverse bijection? If not, characterize the image of the function defined on .

Consider also the variant of this problem with the set replaced with the set of complements of elements of the set .

Keywords: hyperfuncoids; multidimensional

## Domain and image for Gamma-reloid ★★

Author(s): Porton

Conjecture   and for every funcoid .

Keywords:

## Another conjecture about reloids and funcoids ★★

Author(s): Porton

Definition   for reloid .
Conjecture   for every funcoid .

Note: it is known that (see below mentioned online article).

Keywords:

## One-way functions exist ★★★★

Author(s):

Conjecture   One-way functions exist.

Keywords: one way function

## Funcoid corresponding to reloid through lattice Gamma ★★

Author(s): Porton

Conjecture   For every reloid and , :
\item ; \item .

It's proved by me in this online article.

Keywords: funcoid corresponding to reloid

## Restricting a reloid to lattice Gamma before converting it into a funcoid ★★

Author(s): Porton

Conjecture   for every reloid .