[图书][B] Richard Dedekind: Was sind und was sollen die Zahlen? Stetigkeit und Irrationale Zahlen

S Müller-Stach - 2017 - Springer
§ 3. Ahnlichkeit einer Abbildung. Ahnliche Systeme § 4. Abbildung eines Systems in sich
selbst § 5. Das Endliche und Unendliche § 6. Einfach unendliche Systeme. Reihe der …

[图书][B] Directed algebraic topology and concurrency

L Fajstrup, E Goubault, E Haucourt, S Mimram… - 2016 - Springer
Fascinating links between the semantics of concurrent programs and algebraic topology
have been discovered and developed since the 1990s, motivated by the hope that each field …

A generalized Blakers–Massey theorem

M Anel, G Biedermann, E Finster, A Joyal - Journal of Topology, 2020 - Wiley Online Library
We prove a generalization of the classical connectivity theorem of Blakers–Massey, valid in
an arbitrary higher topos and with respect to an arbitrary modality, that is, a factorization …

What do we want a foundation to do? Comparing set-theoretic, category-theoretic, and univalent approaches

P Maddy - Reflections on the foundations of mathematics …, 2019 - Springer
It's often said that set theory provides a foundation for classical mathematics because every
classical mathematical object can be modeled as a set and every classical mathematical …

[图书][B] Axiomatic method and category theory

A Rodin - 2013 - books.google.com
This volume explores the many different meanings of the notion of the axiomatic method,
offering an insightful historical and philosophical discussion about how these notions …

Conceptual engineering for mathematical concepts

FS Tanswell - Inquiry, 2018 - Taylor & Francis
In this paper I investigate how conceptual engineering applies to mathematical concepts in
particular. I begin with a discussion of Waismann's notion of open texture, and compare it to …

Transdisciplinary fundamentals of information-analytical activity

S Dovgyi, O Stryzhak - Conference on Mathematical Control Theory, 2019 - Springer
The information and analytical activities of experts have one of the main problems which are
the unstructured information resources usage to be displayed in various network documents …

The Rational Higher Structure of M‐theory: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory

D Fiorenza, H Sati, U Schreiber - Fortschritte der Physik, 2019 - Wiley Online Library
We review how core structures of string/M‐theory emerge as higher structures in super
homotopy theory; namely from systematic analysis of the brane bouquet of universal …

Applications to boundary value problems and homotopy theory via tripled fixed point techniques in partially metric spaces

HA Hammad, P Agarwal, JLG Guirao - Mathematics, 2021 - mdpi.com
In this manuscript, some tripled fixed point results were derived under (φ, ρ, ℓ)-contraction in
the framework of ordered partially metric spaces. Moreover, we furnish an example which …

Modalities and parametric adjoints

D Gratzer, E Cavallo, GA Kavvos, A Guatto… - ACM Transactions on …, 2022 - dl.acm.org
Birkedal et al. recently introduced dependent right adjoints as an important class of (non-
fibered) modalities in type theory. We observe that several aspects of their calculus are left …