14,855 reputation
22669
bio website austinmohr.com
location Lincoln, NE
age 29
visits member for 3 years, 6 months
seen 12 hours ago

Status
Assistant Professor in the Department of Mathematics at Nebraska Wesleyan University

Interests
Combinatorics, general topology, and mathematics pedagogy

Currently Researching
Applications of the Lopsided Lovász Local Lemma

Pi-Base
Pi-Base is a searchable database of topological spaces and their properties (in ZFC) inspired by Steen and Seebach’s Counterexamples in Topology.


12h
reviewed Approve suggested edit on Prove that if $A$ is an infinite set then $A \times 2$ is equipotent to $A$
Nov
24
comment Better Explanation for an already posted question
Please ask for clarification on the original question.
Nov
24
revised Can a Set Have Infinitely-Many Non-Homeomorphic Topologies?
added 13 characters in body; edited title
Nov
24
comment Necessity and sufficiency
@math101 The phrase "if and only if" essentially means "necessary and sufficient". Both versions of my statement say "(closed and bounded)-ness is necessary and sufficient for compactness". The first formulation is just written in a more pleasing way.
Nov
22
comment Example of a paracompact space that is not metrizable
Yes, but sign up is free.
Nov
22
comment Example of a paracompact space that is not metrizable
The original data is all drawn from Counterexamples in Topology, which is generally reliable, but we have stumbled upon a few incorrect assertions. The site is a continual work in progress to which anyone can contribute.
Nov
22
comment Example of a paracompact space that is not metrizable
I added Hausdorff to the search. Thanks. Regarding the Baire product space, the culprit might be that it was asserted (without proof) that this space is not perfectly normal. Since metrizable spaces are perfectly normal, the database deduced that the Baire product space is not metrizable.
Nov
22
revised Example of a paracompact space that is not metrizable
deleted 657 characters in body
Nov
22
answered Example of a paracompact space that is not metrizable
Nov
22
answered Are there any countable Hausdorff connected spaces?
Nov
22
revised Are there any countable Hausdorff connected spaces?
edited tags
Nov
21
revised Example of Hausdorff and Second Countable Space that is Not Metrizable
deleted 10 characters in body; edited tags; edited title
Nov
21
answered Example of Hausdorff and Second Countable Space that is Not Metrizable
Nov
21
answered First Countable Spaces are Hausdorff or Not?
Nov
21
revised First Countable Spaces are Hausdorff or Not?
deleted 6 characters in body; edited tags; edited title
Nov
12
comment Pure mathematics in our society
@QiaochuYuan I think you could strip Gowers' name from the argument and it would still be a good argument.
Nov
12
revised Why is this algebraic manipulation of quaternions incorrect?
hypens are ill-advised in a question about negatives
Nov
10
revised Interpreting Line Integrals with Respect to $x$ or $y$
added 1 character in body
Nov
10
revised Interpreting Line Integrals with Respect to $x$ or $y$
deleted 6 characters in body; edited title
Nov
8
revised Is Every Set Open in the Subspace Topology on the Cantor Set?
edited title