Segal objects and the Grothendieck construction
Pedro Boavida de Brito
TL;DR
This paper explores the concept of right fibrations within the framework of Segal objects in an $ abla$-categorical setting, establishing foundational results that connect these ideas in higher category theory.
Contribution
It introduces and analyzes right fibrations in the context of Segal objects, providing new foundational results in $ abla$-categorical higher category theory.
Findings
Established basic properties of right fibrations in Segal objects.
Connected right fibrations with $ abla$-categorical structures.
Provided foundational results for further research in higher category theory.
Abstract
We discuss right fibrations in the -categorical context of Segal objects in a category V and prove some basic results about these.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory