Welcome to the Flocks of Cones web page. This page is an experimental attempt to more fully utilize the capabilities of the World Wide Web as a mathematical research tool. I have several aims for this web page:

This project was started in January 1998 and it will take a number of years to reach its full potential. In fact, if my vision for this page remains true, it will never be completed, but remain a constantly changing living document. It is my hope that others, by their utilization of the page and by their contributions to it, will adopt it as their own, making it a true community effort.

The core of the page is organized in the same manner as my paper, Towards a General Theory of Flocks of Cones. In fact, the paper is being written at the same time as the page is being developed. Once the paper is published, it will become a static document, whereas this web page will continue to grow and be modified. Another difference between the paper and this web page is the cross referencing ability of the page. Navigational buttons (see below) provide the capability of jumping around the document, following threads of interest, permitting a quick scanning of the material or an in depth view of it, as the reader sees fit. In one sense, the web page is much closer to a text than it is to a research paper in that much material, that can only be referred to in the paper, can appear in the whole on the web page. Once I have exhausted the material I have at hand, I will be actively seeking contributions from other researchers, to either place on site or provide links to satellite pages.

Another aspect of the page is the communication component. I will maintain links to other researchers and provide a discussion area. Ultimately, I hope that this evolves into a kind of on-line newsletter, so that we may all be able to keep up to date on the latest findings and projects.

Navigation Aids

Besides the index bar to the left, to help navigate through the web site I have incorporated the following navigation buttons in the pages:
[next] Next Button
In a linearly ordered set of topics or pages, this moves to the next item in the order.

[last] Last Button
In a linearly ordered set of topics or pages, this moves to the previous item in the order.

[forward] Fast Forward Button
Moves to a forward reference of the topic.

[back] Back Button
Moves to a previous reference to the topic.

[more] More Button
Moves to an amplification of the topic.

[proof] Proof Button
Proofs are not included in the main stream of the pages, but are always provided and can be accessed by this button.

[reference] Reference Button
Theorems from other sources whose proofs are not provided will have their sources referenced by this button.

Ordinary links in the page are to either definitions (also available in the glossary) or to references (also available in the bibliography). If I have not provided the appropriate link at some point, you will have to rely on your browser's navigation abilities.

Besides these navigational tools, I have also included a search engine (available on the left) which will search these pages for any subject you type in.

The natural place to start examining these pages is with the Table of Contents. [next]


I would like to thank Leanne Holder for assisting me in the creation and design of these pages. She was partially supported in this work by a CU-Denver Graduate Research Opportunities (GROP) grant.
Bill Cherowitzo 4/7/98