## 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

## 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 .

Keywords: funcoid corresponding to reloid; funcoids; reloids