From: <math@antiquark.com>
To: <categories@mta.ca>
Subject: Structure Preserving: Definition?
Date: Thu, 17 May 2001 15:57:33 -0500 [thread overview]
Message-ID: <006501c0df13$fe6fb400$87657bc8@athlon> (raw)
Hello,
I've sent the following message to sci.math, but haven't
received a clear answer. I've also tried sci.math.research,
but the moderator bounced the posting. Possibly someone
here can help?
Derek.
===============================================
I'm working through the following paper, trying to learn a bit
more about category theory:
Matrices, Monads and the Fast Fourier Transform
http://citeseer.nj.nec.com/jay93matrice.html
I this paper, the author explains vectors in categorical
notation:
"Vectors are distinguished from lists because their length
is given as part of their structure, represented by a morphism
(function) #: VA -> N."
What this means is that the morphism '#' will produce the
length of vector.
However, does this violate one of the requirements that a
morphism must preserve the structure of an object? A vector
is a sequence of elements, and an integer is only a single
value. Does this mean that an integer has the same structure
as a vector?
Or does "structure preserving morphism" mean something
different?
Thanks,
Derek.
next reply other threads:[~2001-05-17 20:57 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2001-05-17 20:57 math [this message]
2001-05-18 12:49 ` Charles Wells
2001-05-21 2:21 ` Barry Jay
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to='006501c0df13$fe6fb400$87657bc8@athlon' \
--to=math@antiquark.com \
--cc=categories@mta.ca \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).