different between tropology vs topology

English

Etymology

From Late Latin tropologia, from Late Greek ?????????? (tropología), equivalent to trope + -ology.

Noun

tropology (countable and uncountable, plural tropologies)

1. (rhetoric) The use of a trope (metaphor or figure of speech).
   • 1998, Allen Mitchie, Between Calvin and Calvino: Postmodernism and Bunyan's Pilgrim's Progress, Greg Clingham (editor), Questioning History: The Postmodern Turn to the Eighteenth Century, page 54,

     But she is not right to claim this is because "rhetoric" must necessarily be "in the Nietzschean sense that all language is founded in tropology."³⁷ Since when has tropology been in conflict with theology? Tropology and rhetoric thrive in the works of both Calvin and Calvino, and tropology is the very lifeblood of The Pilgrim's Progress.

2. (theology, philosophy) The interpretation of scripture or other work in order to educe moral or figurative meaning; a treatise of such interpretation.
   • 2009, Frank Ankersmit, 2: White's "New Neo-Kantianism": Aesthetics, Ethics and Politics, Frank Ankersmit, Ewa Domanska, Hans Kellner (editors), Re-Figuring Hayden White, page 37,

     A similar story can be told for White's tropology. Tropology also is something that “the mind brings” to (past) reality and that is not part of the past itself.

3. A recurring motif or metaphor, a trope; an interplay of tropes.
   • 1994, Lee Edelman, preface, Homographesis, hardcover edition, page xiv,

     These essays, in other words, endeavor to read the literary, cultural, and political implications of the tropologies of sexuality that are put into play once the field of sexuality becomes charged by the widespread availability of a "homosexual" identity, and they explore the determining relation between "homosexuality" and "identity" as both have been constructed in modern Euro-American societies.

Usage notes

The countable interpretation of the sense the use of a trope is an instance of something being used as a trope, which is indistinguishable from trope.

Related terms

• trope
• tropologic
• tropological

See also

• allegory
• anagogy
• exegesis
• hermeneutics

Anagrams

• protology

English

Etymology

From Late Latin topologia, from Ancient Greek ????? (tópos, “place, locality”) + -(o)logy (“study of, a branch of knowledge”).

Pronunciation

• (Received Pronunciation) IPA^(key): /t??p?l?d?i/
• (General American) IPA^(key): /t??p?l?d?i/
• Rhymes: -?l?d?i

Noun

topology (countable and uncountable, plural topologies)

1. (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
   • 1970 [Addison-Wesley], Stephen Willard, General Topology, 2012, Dover, page v,

     This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields.

   • 1974 [Crane, Russak & Co.], H. Graham Flegg, From Geometry to Topology, 2001, Dover, page v,

     Many university courses in topology plunge immediately into a formalized and entirely abstract presentation of topological concepts.

2. (topology) Any collection ? of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
   • 2016, Ehud Hrushovski, François Loeser, Non-Archimedean Tame Topology and Stably Dominated Types (AM-192), Princeton University Press, page 43,

     It is easy to verify that the topology generated by these basic open sets coincides with the definition of the topology on ${\displaystyle {\widehat {V}}}$ above, for the Zariski topology and the sheaf of functions ${\displaystyle \operatorname {val} (f),f}$ regular.

3. (medicine) The anatomical structure of part of the body.
4. (computing) The arrangement of nodes in a communications network.
5. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
6. (topography) The topographical study of geographic locations or given places in relation to their history.
7. (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

Synonyms

• (branch of mathematics): analysis situs (obsolete), geometria situs (obsolete)

Hypernyms

• (collection of subsets): pi-system, ?-system

Meronyms

• open set

Holonyms

• topological space

Derived terms

Related terms

Translations

See also

• homotopy
• Appendix:Glossary of topology

Further reading

• topology on Wikipedia.Wikipedia
• Homotopy on Wikipedia.Wikipedia

Anagrams

• optology