Topology

2307 Submissions

[4] viXra:2307.0083 [pdf] submitted on 2023-07-16 05:57:47

Kolmogorov Spaces Which Are Injective

Authors: Ryan J. Buchanan
Comments: 16 Pages.

Let K0,K1 be Kolmogorov spaces, and there be an exact morphism K0 → K1. Assuming K0 to be a "good moduli stack" gives us an exact injection into the category of hyperspace tilings. Here, we explore this link. We supply a healthy dose of background information to get the reader acquainted with the relevant topics in a lightning-round fashion. In the process we touch on automorphisms of spectral sequences.
Category: Topology

[3] viXra:2307.0059 [pdf] submitted on 2023-07-12 21:32:15

Bundle Gerbes and Euclidean Apartments

Authors: Ryan J. Buchanan
Comments: 13 Pages.

We continue from our last session on ��∞-spaces. Here, we discuss apartments as graphs. Theradial completion of the apartments relate to bundle gerbes and also Mochizuki’s ideas of the ��-link.
Category: Topology

[2] viXra:2307.0035 [pdf] replaced on 2023-09-03 01:04:46

Bertrand's Postulate and the Sum of Primes

Authors: Yung Zhao
Comments: 3 Pages.

It is deduced from Bertrand's Postulate that every even integer greater than 4 is the sum of two primes.
Category: Topology

[1] viXra:2307.0003 [pdf] submitted on 2023-07-01 02:14:29

Displays for Teichmüller Spaces

Authors: Ryan J. Buchanan
Comments: 14 Pages.

We introduce here a new notion of polarity for hyperbolic and complex analytic spaces. We describe compasses and arithmetic displays for said spaces.
Category: Topology