Proposing new higher-gap morasses

TL;DR

This paper introduces a new concept of higher-gap morasses, specifically the $( omal_1,eta)$-morass, expanding the theoretical framework for set-theoretic structures when $ omal_1 \

Contribution

It defines a novel type of higher-gap morass for the case $ omal_1 \

Findings

Provides a formal definition of $( omal_1,eta)$-morass

Extends the theory of morasses to new cases

Lays groundwork for further set-theoretic research

Abstract

I propose a notion of $(\omega_1,\beta)$-morass for the case $\omega_1 \leq \beta$.